518433804864 has 84 divisors (see below), whose sum is σ = 1541033863824. Its totient is φ = 172811263104.

The previous prime is 518433804803. The next prime is 518433804881. The reversal of 518433804864 is 468408334815.

It is a happy number.

518433804864 is a `hidden beast` number, since 5 + 1 + 84 + 3 + 3 + 80 + 486 + 4 = 666.

It is a super-2 number, since 2×518433804864² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 518433804864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16652202 + ... + 16683305.

It is an arithmetic number, because the mean of its divisors is an integer number (18345641236).

Almost surely, 2^518433804864 is an apocalyptic number.

518433804864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

518433804864 is an abundant number, since it is smaller than the sum of its proper divisors (1022600058960).

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

518433804864 is an equidigital number, since it uses as much as digits as its factorization.

518433804864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33335534 (or 33335512 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 518433804864 in words is "five hundred eighteen billion, four hundred thirty-three million, eight hundred four thousand, eight hundred sixty-four".