256914235704 has 512 divisors, whose sum is σ = 801048268800. Its totient is φ = 67118284800.

The previous prime is 256914235687. The next prime is 256914235769. The reversal of 256914235704 is 407532419652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1875286324 + ... + 1875286460.

It is an arithmetic number, because the mean of its divisors is an integer number (1564547400).

Almost surely, 2^256914235704 is an apocalyptic number.

256914235704 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 256914235704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400524134400).

256914235704 is an abundant number, since it is smaller than the sum of its proper divisors (544134033096).

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

256914235704 is a wasteful number, since it uses less digits than its factorization.

256914235704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 256914235704 in words is "two hundred fifty-six billion, nine hundred fourteen million, two hundred thirty-five thousand, seven hundred four".