256735717374304 has 48 divisors (see below), whose sum is σ = 577668869388576. Its totient is φ = 110027020723200.

The previous prime is 256735717374247. The next prime is 256735717374317. The reversal of 256735717374304 is 403473717537652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3780307 + ... + 22973074.

It is an arithmetic number, because the mean of its divisors is an integer number (12034768112262).

Almost surely, 2^{256735717374304} is an apocalyptic number.

It is an amenable number.

256735717374304 is an abundant number, since it is smaller than the sum of its proper divisors (320933152014272).

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

256735717374304 is a wasteful number, since it uses less digits than its factorization.

256735717374304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26796239 (or 26796231 counting only the distinct ones).

The product of its (nonzero) digits is 311169600, while the sum is 64.

The spelling of 256735717374304 in words is "two hundred fifty-six trillion, seven hundred thirty-five billion, seven hundred seventeen million, three hundred seventy-four thousand, three hundred four".