256478874652 has 144 divisors (see below), whose sum is σ = 615066594912. Its totient is φ = 91989112320.

The previous prime is 256478874529. The next prime is 256478874671.

256478874652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×256478874652² (a number of 24 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 47 ways as a sum of consecutive naturals, for example, 10442178 + ... + 10466710.

It is an arithmetic number, because the mean of its divisors is an integer number (4271295798).

Almost surely, 2^256478874652 is an apocalyptic number.

256478874652 is a gapful number since it is divisible by the number (22) 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 256478874652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307533297456).

256478874652 is an abundant number, since it is smaller than the sum of its proper divisors (358587720260).

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

256478874652 is a wasteful number, since it uses less digits than its factorization.

256478874652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24948 (or 24939 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 64.

The spelling of 256478874652 in words is "two hundred fifty-six billion, four hundred seventy-eight million, eight hundred seventy-four thousand, six hundred fifty-two".