516111545664 has 224 divisors, whose sum is σ = 1782530628480. Its totient is φ = 144366796800.

The previous prime is 516111545657. The next prime is 516111545687. The reversal of 516111545664 is 466545111615.

It is a happy number.

516111545664 is a `hidden beast` number, since 516 + 11 + 15 + 4 + 56 + 64 = 666.

It is a super-2 number, since 2×516111545664² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797217 + ... + 1291424.

It is an arithmetic number, because the mean of its divisors is an integer number (7957726020).

Almost surely, 2^516111545664 is an apocalyptic number.

516111545664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

516111545664 is an abundant number, since it is smaller than the sum of its proper divisors (1266419082816).

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

516111545664 is a wasteful number, since it uses less digits than its factorization.

516111545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088686 (or 2088670 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 516111545664 in words is "five hundred sixteen billion, one hundred eleven million, five hundred forty-five thousand, six hundred sixty-four".