256975997184 has 243 divisors, whose sum is σ = 757930168723. Its totient is φ = 83736394752.

The previous prime is 256975997171. The next prime is 256975997191. The reversal of 256975997184 is 481799579652.

The square root of 256975997184 is 506928.

It is a perfect power (a square), and thus also a powerful number.

256975997184 is a `hidden beast` number, since 2 + 569 + 7 + 59 + 9 + 7 + 1 + 8 + 4 = 666.

It is a super-2 number, since 2×256975997184² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

Its product of digits (342921600) is a multiple of the sum of its prime divisors (243).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1435620007 + ... + 1435620185.

Almost surely, 2^256975997184 is an apocalyptic number.

256975997184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

256975997184 is the 506928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256975997184

256975997184 is an abundant number, since it is smaller than the sum of its proper divisors (500954171539).

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

256975997184 is an frugal number, since it uses more digits than its factorization.

256975997184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 243 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 72.

The spelling of 256975997184 in words is "two hundred fifty-six billion, nine hundred seventy-five million, nine hundred ninety-seven thousand, one hundred eighty-four".