456017632417164 has 96 divisors (see below), whose sum is σ = 1132975309939200. Its totient is φ = 142352410452480.

The previous prime is 456017632417157. The next prime is 456017632417187. The reversal of 456017632417164 is 461714236710654.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26192529 + ... + 39976040.

It is an arithmetic number, because the mean of its divisors is an integer number (11801826145200).

Almost surely, 2^{456017632417164} is an apocalyptic number.

It is an amenable number.

456017632417164 is an abundant number, since it is smaller than the sum of its proper divisors (676957677522036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456017632417164 is a wasteful number, since it uses less digits than its factorization.

456017632417164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66168943 (or 66168941 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 456017632417164 in words is "four hundred fifty-six trillion, seventeen billion, six hundred thirty-two million, four hundred seventeen thousand, one hundred sixty-four".