516115624642344 has 32 divisors (see below), whose sum is σ = 1433654512896000. Its totient is φ = 172038541547376.

The previous prime is 516115624642339. The next prime is 516115624642399. The reversal of 516115624642344 is 443246426511615.

516115624642344 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 1 + 5 + 624 + 6 + 4 + 2 + 3 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194712093864 + ... + 1194712094295.

It is an arithmetic number, because the mean of its divisors is an integer number (44801703528000).

Almost surely, 2^{516115624642344} is an apocalyptic number.

516115624642344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

516115624642344 is an abundant number, since it is smaller than the sum of its proper divisors (917538888253656).

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

516115624642344 is a wasteful number, since it uses less digits than its factorization.

516115624642344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389424188174 (or 2389424188164 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 516115624642344 in words is "five hundred sixteen trillion, one hundred fifteen billion, six hundred twenty-four million, six hundred forty-two thousand, three hundred forty-four".