256974969888 has 360 divisors, whose sum is σ = 904966328448. Its totient is φ = 67758432768.

The previous prime is 256974969887. The next prime is 256974969919. The reversal of 256974969888 is 888969479652.

256974969888 is a `hidden beast` number, since 2 + 569 + 7 + 49 + 6 + 9 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×256974969888² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256974969887) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 57576745 + ... + 57581207.

Almost surely, 2^256974969888 is an apocalyptic number.

256974969888 is a gapful number since it is divisible by the number (28) 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 256974969888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452483164224).

256974969888 is an abundant number, since it is smaller than the sum of its proper divisors (647991358560).

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

256974969888 is an equidigital number, since it uses as much as digits as its factorization.

256974969888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4488 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 256974969888 in words is "two hundred fifty-six billion, nine hundred seventy-four million, nine hundred sixty-nine thousand, eight hundred eighty-eight".