diff --git a/doc/whatsnew/fragments/10708.bugfix b/doc/whatsnew/fragments/10708.bugfix
new file mode 100644
index 0000000000..2a9b1a3793
--- /dev/null
+++ b/doc/whatsnew/fragments/10708.bugfix
@@ -0,0 +1,4 @@
+Fix crash for ``prefer-typing-namedtuple`` and ``consider-math-not-float`` when
+a ``slice`` object is called.
+
+Closes #10708
diff --git a/pylint/extensions/code_style.py b/pylint/extensions/code_style.py
index d8ea869cb9..0eff5f4786 100644
--- a/pylint/extensions/code_style.py
+++ b/pylint/extensions/code_style.py
@@ -113,7 +113,7 @@ def open(self) -> None:
     def visit_call(self, node: nodes.Call) -> None:
         if self._py36_plus:
             called = safe_infer(node.func)
-            if not called:
+            if not (called and isinstance(called, (nodes.FunctionDef, nodes.ClassDef))):
                 return
             if called.qname() == "collections.namedtuple":
                 self.add_message(
diff --git a/tests/functional/ext/code_style/cs_prefer_typing_namedtuple.py b/tests/functional/ext/code_style/cs_prefer_typing_namedtuple.py
index 7b0e7c58de..18ca3138f8 100644
--- a/tests/functional/ext/code_style/cs_prefer_typing_namedtuple.py
+++ b/tests/functional/ext/code_style/cs_prefer_typing_namedtuple.py
@@ -7,3 +7,8 @@ class SearchMatch(
     namedtuple('SearchMatch', ['els', 'index', 'iterator'])  # [prefer-typing-namedtuple]
 ):
     """Adapted from primer package `music21`."""
+
+
+# Regression test for https://github.com/pylint-dev/pylint/issues/10708
+x = slice(42)
+x()  # pylint: disable=not-callable