518912974944 has 1440 divisors, whose sum is σ = 2005598859264. Its totient is φ = 128680980480.

The previous prime is 518912974903. The next prime is 518912974961. The reversal of 518912974944 is 449479219815.

518912974944 is a `hidden beast` number, since 5 + 18 + 9 + 129 + 7 + 494 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5037989997 + ... + 5037990099.

Almost surely, 2^518912974944 is an apocalyptic number.

518912974944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518912974944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002799429632).

518912974944 is an abundant number, since it is smaller than the sum of its proper divisors (1486685884320).

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

518912974944 is a wasteful number, since it uses less digits than its factorization.

518912974944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 212 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

It can be divided in two parts, 518912 and 974944, that added together give a triangular number (1493856 = T₁₇₂₈).

The spelling of 518912974944 in words is "five hundred eighteen billion, nine hundred twelve million, nine hundred seventy-four thousand, nine hundred forty-four".