464056312344 has 64 divisors (see below), whose sum is σ = 1175329344000. Its totient is φ = 152661974400.

The previous prime is 464056312333. The next prime is 464056312351. The reversal of 464056312344 is 443213650464.

It is a super-2 number, since 2×464056312344² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464056312296 and 464056312305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4478319 + ... + 4580769.

It is an arithmetic number, because the mean of its divisors is an integer number (18364521000).

Almost surely, 2^464056312344 is an apocalyptic number.

It is an amenable number.

464056312344 is an abundant number, since it is smaller than the sum of its proper divisors (711273031656).

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

464056312344 is a wasteful number, since it uses less digits than its factorization.

464056312344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104928 (or 104924 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 464056312344 in words is "four hundred sixty-four billion, fifty-six million, three hundred twelve thousand, three hundred forty-four".