5465305246401 has 384 divisors, whose sum is σ = 11065831096320. Its totient is φ = 2508226560000.

The previous prime is 5465305246399. The next prime is 5465305246463. The reversal of 5465305246401 is 1046425035645.

5465305246401 is a `hidden beast` number, since 5 + 4 + 6 + 530 + 52 + 4 + 64 + 0 + 1 = 666.

It is not a de Polignac number, because 5465305246401 - 2¹ = 5465305246399 is a prime.

It is a super-2 number, since 2×5465305246401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5465305246481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7107028545 + ... + 7107029313.

It is an arithmetic number, because the mean of its divisors is an integer number (28817268480).

Almost surely, 2^{5465305246401} is an apocalyptic number.

It is an amenable number.

5465305246401 is an abundant number, since it is smaller than the sum of its proper divisors (5600525849919).

5465305246401 is a wasteful number, since it uses less digits than its factorization.

5465305246401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 5465305246401 in words is "five trillion, four hundred sixty-five billion, three hundred five million, two hundred forty-six thousand, four hundred one".