256444202444652 has 96 divisors (see below), whose sum is σ = 683889658415040. Its totient is φ = 83041339760640.

The previous prime is 256444202444623. The next prime is 256444202444669.

256444202444652 is a `hidden beast` number, since 2 + 56 + 44 + 42 + 0 + 24 + 446 + 52 = 666.

256444202444652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×256444202444652² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47497243 + ... + 52620114.

It is an arithmetic number, because the mean of its divisors is an integer number (7123850608490).

Almost surely, 2^{256444202444652} is an apocalyptic number.

It is an amenable number.

256444202444652 is an abundant number, since it is smaller than the sum of its proper divisors (427445455970388).

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

256444202444652 is a wasteful number, since it uses less digits than its factorization.

256444202444652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100118048 (or 100118040 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 54.

The spelling of 256444202444652 in words is "two hundred fifty-six trillion, four hundred forty-four billion, two hundred two million, four hundred forty-four thousand, six hundred fifty-two".