256699048704 has 288 divisors, whose sum is σ = 803105587200. Its totient is φ = 72755601408.

The previous prime is 256699048703. The next prime is 256699048729. The reversal of 256699048704 is 407840996652.

256699048704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256699048703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33451012 + ... + 33458684.

Almost surely, 2^256699048704 is an apocalyptic number.

256699048704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256699048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401552793600).

256699048704 is an abundant number, since it is smaller than the sum of its proper divisors (546406538496).

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

256699048704 is an equidigital number, since it uses as much as digits as its factorization.

256699048704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7840 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 256699048704 in words is "two hundred fifty-six billion, six hundred ninety-nine million, forty-eight thousand, seven hundred four".