518334056352 has 216 divisors, whose sum is σ = 1804914165600. Its totient is φ = 140300875008.

The previous prime is 518334056309. The next prime is 518334056363. The reversal of 518334056352 is 253650433815.

518334056352 is a `hidden beast` number, since 5 + 1 + 8 + 3 + 3 + 4 + 0 + 5 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 518334056298 and 518334056307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698452 + ... + 1234707.

It is an arithmetic number, because the mean of its divisors is an integer number (8356084100).

Almost surely, 2^518334056352 is an apocalyptic number.

It is an amenable number.

518334056352 is an abundant number, since it is smaller than the sum of its proper divisors (1286580109248).

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

518334056352 is a wasteful number, since it uses less digits than its factorization.

518334056352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933208 (or 1933190 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 518334056352 in words is "five hundred eighteen billion, three hundred thirty-four million, fifty-six thousand, three hundred fifty-two".