465597795564 has 72 divisors (see below), whose sum is σ = 1296633396240. Its totient is φ = 139693296000.

The previous prime is 465597795529. The next prime is 465597795643.

It is a happy number.

465597795564 is a `hidden beast` number, since 4 + 6 + 5 + 59 + 7 + 7 + 9 + 5 + 564 = 666.

465597795564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465597795492 and 465597795501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5780559 + ... + 5860550.

It is an arithmetic number, because the mean of its divisors is an integer number (18008797170).

Almost surely, 2^465597795564 is an apocalyptic number.

465597795564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465597795564 is an abundant number, since it is smaller than the sum of its proper divisors (831035600676).

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

465597795564 is a wasteful number, since it uses less digits than its factorization.

465597795564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11641231 (or 11641226 counting only the distinct ones).

The product of its digits is 1428840000, while the sum is 72.

The spelling of 465597795564 in words is "four hundred sixty-five billion, five hundred ninety-seven million, seven hundred ninety-five thousand, five hundred sixty-four".