256930414464 has 192 divisors, whose sum is σ = 727817523840. Its totient is φ = 80290013184.

The previous prime is 256930414453. The next prime is 256930414471. The reversal of 256930414464 is 464414039652.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29182287 + ... + 29191089.

It is an arithmetic number, because the mean of its divisors is an integer number (3790716270).

Almost surely, 2^256930414464 is an apocalyptic number.

256930414464 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 256930414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363908761920).

256930414464 is an abundant number, since it is smaller than the sum of its proper divisors (470887109376).

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

256930414464 is a wasteful number, since it uses less digits than its factorization.

256930414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9117 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 256930414464 in words is "two hundred fifty-six billion, nine hundred thirty million, four hundred fourteen thousand, four hundred sixty-four".