256631745233304 has 96 divisors (see below), whose sum is σ = 797143196977920. Its totient is φ = 73064262610368.

The previous prime is 256631745233239. The next prime is 256631745233317. The reversal of 256631745233304 is 403332547136652.

256631745233304 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 31 + 74 + 5 + 233 + 304 = 666.

It is a super-2 number, since 2×256631745233304² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 899486292 + ... + 899771555.

It is an arithmetic number, because the mean of its divisors is an integer number (8303574968520).

Almost surely, 2^{256631745233304} is an apocalyptic number.

256631745233304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256631745233304 is an abundant number, since it is smaller than the sum of its proper divisors (540511451744616).

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

256631745233304 is a wasteful number, since it uses less digits than its factorization.

256631745233304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799258149 (or 1799258142 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 54.

The spelling of 256631745233304 in words is "two hundred fifty-six trillion, six hundred thirty-one billion, seven hundred forty-five million, two hundred thirty-three thousand, three hundred four".