516000454416 has 60 divisors (see below), whose sum is σ = 1444133936700. Its totient is φ = 171994275840.

The previous prime is 516000454397. The next prime is 516000454421. The reversal of 516000454416 is 614454000615.

516000454416 is a `hidden beast` number, since 5 + 1 + 600 + 0 + 4 + 5 + 4 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 499566240000 + 16434214416 = 706800^2 + 128196^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6939676 + ... + 7013636.

It is an arithmetic number, because the mean of its divisors is an integer number (24068898945).

Almost surely, 2^516000454416 is an apocalyptic number.

It is an amenable number.

516000454416 is an abundant number, since it is smaller than the sum of its proper divisors (928133482284).

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

516000454416 is a wasteful number, since it uses less digits than its factorization.

516000454416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122424 (or 122415 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 516000454416 in words is "five hundred sixteen billion, four hundred fifty-four thousand, four hundred sixteen".