diff --git a/doc/source/whatsnew/v3.1.0.rst b/doc/source/whatsnew/v3.1.0.rst
index 882464a2d5441..6af500f6cc0b0 100644
--- a/doc/source/whatsnew/v3.1.0.rst
+++ b/doc/source/whatsnew/v3.1.0.rst
@@ -221,6 +221,7 @@ Timedelta
 ^^^^^^^^^
 - Bug in :attr:`TimedeltaIndex.resolution` raising when the index has no frequency (:issue:`65186`)
 - Bug in :class:`DateOffset` where ``DateOffset(1)`` and ``DateOffset(days=1)`` returned different results near daylight saving time transitions (:issue:`61862`)
+- Bug in :class:`Timedelta` constructor where keyword arguments (e.g. ``days=365000``) that exceeded nanosecond int64 bounds raised ``OutOfBoundsTimedelta`` instead of falling back to a coarser resolution (:issue:`46587`)
 - Bug in :func:`to_timedelta` where passing ``np.str_`` objects would fail in Cython string parsing (:issue:`48974`)
 - Fixed regression in :meth:`Timedelta.round`, :meth:`Timedelta.floor`, and :meth:`Timedelta.ceil` raising ``ZeroDivisionError`` for sub-second ``freq`` (:issue:`64828`)
 
diff --git a/pandas/_libs/tslibs/timedeltas.pyx b/pandas/_libs/tslibs/timedeltas.pyx
index e2075f1f88270..1e4ec1d4a642d 100644
--- a/pandas/_libs/tslibs/timedeltas.pyx
+++ b/pandas/_libs/tslibs/timedeltas.pyx
@@ -2192,27 +2192,42 @@ class Timedelta(_Timedelta):
             ns = kwargs.get("nanoseconds", 0)
             us = kwargs.get("microseconds", 0)
             ms = kwargs.get("milliseconds", 0)
+            total_ns = (
+                int(ns)
+                + int(us * 1_000)
+                + int(ms * 1_000_000)
+                + seconds
+            )
+
             try:
-                value = np.timedelta64(
-                    int(ns)
-                    + int(us * 1_000)
-                    + int(ms * 1_000_000)
-                    + seconds, "ns"
-                )
-            except OverflowError as err:
-                # GH#55503
-                msg = (
-                    f"seconds={seconds}, milliseconds={ms}, "
-                    f"microseconds={us}, nanoseconds={ns}"
-                )
-                raise OutOfBoundsTimedelta(msg) from err
+                value = np.timedelta64(total_ns, "ns")
+            except OverflowError:
+                # GH#46587 - fall back to coarser resolutions
+                if total_ns % 1_000 != 0:
+                    reso_value, reso_abbrev = total_ns, "ns"
+                elif total_ns % 1_000_000 != 0:
+                    reso_value, reso_abbrev = total_ns // 1_000, "us"
+                elif total_ns % 1_000_000_000 != 0:
+                    reso_value, reso_abbrev = total_ns // 1_000_000, "ms"
+                else:
+                    reso_value, reso_abbrev = total_ns // 1_000_000_000, "s"
 
-            if (
-                "nanoseconds" not in kwargs
-                and cnp.get_timedelta64_value(value) % 1000 == 0
-            ):
-                # If possible, give a microsecond unit
-                value = value.astype("m8[us]")
+                try:
+                    value = np.timedelta64(reso_value, reso_abbrev)
+                except OverflowError as err:
+                    # GH#55503
+                    msg = (
+                        f"seconds={seconds}, milliseconds={ms}, "
+                        f"microseconds={us}, nanoseconds={ns}"
+                    )
+                    raise OutOfBoundsTimedelta(msg) from err
+            else:
+                if (
+                    "nanoseconds" not in kwargs
+                    and cnp.get_timedelta64_value(value) % 1000 == 0
+                ):
+                    # If possible, give a microsecond unit
+                    value = value.astype("m8[us]")
 
         disallow_ambiguous_unit(unit)
 
diff --git a/pandas/tests/scalar/timedelta/test_constructors.py b/pandas/tests/scalar/timedelta/test_constructors.py
index 30a3ed49d260f..e970795d5591f 100644
--- a/pandas/tests/scalar/timedelta/test_constructors.py
+++ b/pandas/tests/scalar/timedelta/test_constructors.py
@@ -229,12 +229,39 @@ def test_unit_non_round_float(self):
 
 def test_construct_from_kwargs_overflow():
     # GH#55503
-    msg = "seconds=86400000000000000000, milliseconds=0, microseconds=0, nanoseconds=0"
-    with pytest.raises(OutOfBoundsTimedelta, match=msg):
-        Timedelta(days=10**6)
-    msg = "seconds=60000000000000000000, milliseconds=0, microseconds=0, nanoseconds=0"
-    with pytest.raises(OutOfBoundsTimedelta, match=msg):
-        Timedelta(minutes=10**9)
+    # Truly out of bounds even at second resolution
+    with pytest.raises(OutOfBoundsTimedelta):
+        Timedelta(days=10**15)
+
+
+def test_construct_from_kwargs_non_nano():
+    # GH#46587 - kwargs that overflow nanosecond resolution should
+    # fall back to coarser resolutions instead of raising
+    td = Timedelta(days=365 * 1000)
+    assert td.unit == "s"
+    assert td.days == 365_000
+
+    td = Timedelta(days=10**6)
+    assert td.unit == "s"
+    assert td.days == 10**6
+
+    td = Timedelta(minutes=10**9)
+    assert td.unit == "s"
+    assert td.days == 694444
+    assert td.components.hours == 10
+    assert td.components.minutes == 40
+
+    # microseconds kwarg -> us resolution
+    td = Timedelta(days=365 * 1000, microseconds=1)
+    assert td.unit == "us"
+
+    # milliseconds kwarg -> ms resolution
+    td = Timedelta(days=365 * 1000, milliseconds=1)
+    assert td.unit == "ms"
+
+    # nanoseconds kwarg -> ns when it fits
+    td = Timedelta(seconds=1, nanoseconds=1)
+    assert td.unit == "ns"
 
 
 def test_construct_with_weeks_unit_overflow():