556761937344123 has 96 divisors (see below), whose sum is σ = 909723863159040. Its totient is φ = 301164722611200.

The previous prime is 556761937344113. The next prime is 556761937344149. The reversal of 556761937344123 is 321443739167655.

It is not a de Polignac number, because 556761937344123 - 2¹⁰ = 556761937343099 is a prime.

It is a super-2 number, since 2×556761937344123² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (556761937344113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25689184815 + ... + 25689206487.

It is an arithmetic number, because the mean of its divisors is an integer number (9476290241240).

Almost surely, 2^{556761937344123} is an apocalyptic number.

556761937344123 is a deficient number, since it is larger than the sum of its proper divisors (352961925814917).

556761937344123 is a wasteful number, since it uses less digits than its factorization.

556761937344123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28617 (or 28610 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 66.

The spelling of 556761937344123 in words is "five hundred fifty-six trillion, seven hundred sixty-one billion, nine hundred thirty-seven million, three hundred forty-four thousand, one hundred twenty-three".