256628224944399 has 384 divisors, whose sum is σ = 463746904473600. Its totient is φ = 124678202987520.

The previous prime is 256628224944389. The next prime is 256628224944431. The reversal of 256628224944399 is 993449422826652.

It is a Cunningham number, because it is equal to 16019620²-1.

It is not a de Polignac number, because 256628224944399 - 2⁴ = 256628224944383 is a prime.

It is a super-2 number, since 2×256628224944399² (a number of 30 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 256628224944399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256628224944389) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25903722204 + ... + 25903732110.

It is an arithmetic number, because the mean of its divisors is an integer number (1207674230400).

Almost surely, 2^{256628224944399} is an apocalyptic number.

256628224944399 is a deficient number, since it is larger than the sum of its proper divisors (207118679529201).

256628224944399 is a wasteful number, since it uses less digits than its factorization.

256628224944399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10203 (or 10196 counting only the distinct ones).

The product of its digits is 3224862720, while the sum is 75.

The spelling of 256628224944399 in words is "two hundred fifty-six trillion, six hundred twenty-eight billion, two hundred twenty-four million, nine hundred forty-four thousand, three hundred ninety-nine".