256517413647364 has 48 divisors (see below), whose sum is σ = 472860901094400. Its totient is φ = 121423719374496.

The previous prime is 256517413647353. The next prime is 256517413647413. The reversal of 256517413647364 is 463746314715652.

It is a junction number, because it is equal to n+sod(n) for n = 256517413647296 and 256517413647305.

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, 741972727 + ... + 742318369.

It is an arithmetic number, because the mean of its divisors is an integer number (9851268772800).

Almost surely, 2^{256517413647364} is an apocalyptic number.

It is an amenable number.

256517413647364 is a deficient number, since it is larger than the sum of its proper divisors (216343487447036).

256517413647364 is a wasteful number, since it uses less digits than its factorization.

256517413647364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352432 (or 352430 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 64.

The spelling of 256517413647364 in words is "two hundred fifty-six trillion, five hundred seventeen billion, four hundred thirteen million, six hundred forty-seven thousand, three hundred sixty-four".