256914873792 has 224 divisors, whose sum is σ = 788988211200. Its totient is φ = 81824726016.

The previous prime is 256914873739. The next prime is 256914873827. The reversal of 256914873792 is 297378419652.

256914873792 is a `hidden beast` number, since 2 + 5 + 69 + 1 + 487 + 3 + 7 + 92 = 666.

256914873792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42483313 + ... + 42489359.

It is an arithmetic number, because the mean of its divisors is an integer number (3522268800).

Almost surely, 2^256914873792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256914873792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394494105600).

256914873792 is an abundant number, since it is smaller than the sum of its proper divisors (532073337408).

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

256914873792 is a wasteful number, since it uses less digits than its factorization.

256914873792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7144 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 256914873792 in words is "two hundred fifty-six billion, nine hundred fourteen million, eight hundred seventy-three thousand, seven hundred ninety-two".