256416626614652 has 48 divisors (see below), whose sum is σ = 525669518404800. Its totient is φ = 107145560064000.

The previous prime is 256416626614613. The next prime is 256416626614697.

256416626614652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×256416626614652² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67918277 + ... + 71594172.

It is an arithmetic number, because the mean of its divisors is an integer number (10951448300100).

Almost surely, 2^{256416626614652} is an apocalyptic number.

It is an amenable number.

256416626614652 is an abundant number, since it is smaller than the sum of its proper divisors (269252891790148).

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

256416626614652 is a wasteful number, since it uses less digits than its factorization.

256416626614652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139514102 (or 139514100 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 62.

The spelling of 256416626614652 in words is "two hundred fifty-six trillion, four hundred sixteen billion, six hundred twenty-six million, six hundred fourteen thousand, six hundred fifty-two".