256244408361144 has 288 divisors, whose sum is σ = 854824892032800. Its totient is φ = 68903157657600.

The previous prime is 256244408361133. The next prime is 256244408361307. The reversal of 256244408361144 is 441163804442652.

256244408361144 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 4 + 440 + 83 + 6 + 114 + 4 = 666.

256244408361144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256244408361144² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1688308492 + ... + 1688460260.

It is an arithmetic number, because the mean of its divisors is an integer number (2968141986225).

Almost surely, 2^{256244408361144} is an apocalyptic number.

256244408361144 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 256244408361144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427412446016400).

256244408361144 is an abundant number, since it is smaller than the sum of its proper divisors (598580483671656).

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

256244408361144 is a wasteful number, since it uses less digits than its factorization.

256244408361144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179963 (or 179949 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 256244408361144 in words is "two hundred fifty-six trillion, two hundred forty-four billion, four hundred eight million, three hundred sixty-one thousand, one hundred forty-four".