264831959170432 has 32 divisors (see below), whose sum is σ = 532525712319720. Its totient is φ = 131178447058944.

The previous prime is 264831959170399. The next prime is 264831959170487. The reversal of 264831959170432 is 234071959138462.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9668209113 + ... + 9668236504.

It is a 1-persistent number, because it is pandigital, but 2⋅264831959170432 = 529663918340864 is not.

Almost surely, 2^{264831959170432} is an apocalyptic number.

It is an amenable number.

264831959170432 is an abundant number, since it is smaller than the sum of its proper divisors (267693753149288).

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

264831959170432 is a wasteful number, since it uses less digits than its factorization.

264831959170432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19336445738 (or 19336445726 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 264831959170432 in words is "two hundred sixty-four trillion, eight hundred thirty-one billion, nine hundred fifty-nine million, one hundred seventy thousand, four hundred thirty-two".