256997312544 has 96 divisors (see below), whose sum is σ = 791829634176. Its totient is φ = 71443261440.

The previous prime is 256997312519. The next prime is 256997312573. The reversal of 256997312544 is 445213799652.

256997312544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5143197 + ... + 5192924.

It is an arithmetic number, because the mean of its divisors is an integer number (8248225356).

Almost surely, 2^256997312544 is an apocalyptic number.

256997312544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256997312544 is an abundant number, since it is smaller than the sum of its proper divisors (534832321632).

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

256997312544 is a wasteful number, since it uses less digits than its factorization.

256997312544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336178 (or 10336170 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 57.

The spelling of 256997312544 in words is "two hundred fifty-six billion, nine hundred ninety-seven million, three hundred twelve thousand, five hundred forty-four".