256366121364 has 120 divisors (see below), whose sum is σ = 705830442240. Its totient is φ = 80915780736.

The previous prime is 256366121359. The next prime is 256366121387. The reversal of 256366121364 is 463121663652.

256366121364 is a `hidden beast` number, since 2 + 5 + 636 + 6 + 1 + 2 + 1 + 3 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13182592 + ... + 13202024.

It is an arithmetic number, because the mean of its divisors is an integer number (5881920352).

Almost surely, 2^256366121364 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 256366121364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352915221120).

256366121364 is an abundant number, since it is smaller than the sum of its proper divisors (449464320876).

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

256366121364 is a wasteful number, since it uses less digits than its factorization.

256366121364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21611 (or 21600 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 256366121364 in words is "two hundred fifty-six billion, three hundred sixty-six million, one hundred twenty-one thousand, three hundred sixty-four".