256517345234464 has 48 divisors (see below), whose sum is σ = 508047251544000. Its totient is φ = 127489485936384.

The previous prime is 256517345234411. The next prime is 256517345234477. The reversal of 256517345234464 is 464432543715652.

It is a super-2 number, since 2×256517345234464² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050235747 + ... + 1050479965.

It is an arithmetic number, because the mean of its divisors is an integer number (10584317740500).

Almost surely, 2^{256517345234464} is an apocalyptic number.

It is an amenable number.

256517345234464 is a deficient number, since it is larger than the sum of its proper divisors (251529906309536).

256517345234464 is a wasteful number, since it uses less digits than its factorization.

256517345234464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440945 (or 440937 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 61.

The spelling of 256517345234464 in words is "two hundred fifty-six trillion, five hundred seventeen billion, three hundred forty-five million, two hundred thirty-four thousand, four hundred sixty-four".