256273412544 has 112 divisors (see below), whose sum is σ = 756775971840. Its totient is φ = 85041273600.

The previous prime is 256273412543. The next prime is 256273412567. The reversal of 256273412544 is 445214372652.

256273412544 is a `hidden beast` number, since 2 + 5 + 62 + 7 + 3 + 41 + 2 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 256273412544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256273412543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52819 + ... + 717869.

It is an arithmetic number, because the mean of its divisors is an integer number (6756928320).

Almost surely, 2^256273412544 is an apocalyptic number.

256273412544 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 256273412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378387985920).

256273412544 is an abundant number, since it is smaller than the sum of its proper divisors (500502559296).

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

256273412544 is a wasteful number, since it uses less digits than its factorization.

256273412544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665295 (or 665279 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 256273412544 in words is "two hundred fifty-six billion, two hundred seventy-three million, four hundred twelve thousand, five hundred forty-four".