256277338656 has 96 divisors (see below), whose sum is σ = 712550478528. Its totient is φ = 80372490240.

The previous prime is 256277338637. The next prime is 256277338697. The reversal of 256277338656 is 656833772652.

256277338656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×256277338656² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256277338656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4887876 + ... + 4940028.

It is an arithmetic number, because the mean of its divisors is an integer number (7422400818).

Almost surely, 2^256277338656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256277338656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356275239264).

256277338656 is an abundant number, since it is smaller than the sum of its proper divisors (456273139872).

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

256277338656 is a wasteful number, since it uses less digits than its factorization.

256277338656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55194 (or 55186 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 60.

The spelling of 256277338656 in words is "two hundred fifty-six billion, two hundred seventy-seven million, three hundred thirty-eight thousand, six hundred fifty-six".