516348024768 has 84 divisors (see below), whose sum is σ = 1480674981240. Its totient is φ = 172039650816.

The previous prime is 516348024767. The next prime is 516348024809. The reversal of 516348024768 is 867420843615.

It is a happy number.

516348024768 is a `hidden beast` number, since 5 + 1 + 63 + 480 + 2 + 47 + 68 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516348024763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1108078 + ... + 1503506.

It is an arithmetic number, because the mean of its divisors is an integer number (17627083110).

Almost surely, 2^516348024768 is an apocalyptic number.

It is an amenable number.

516348024768 is an abundant number, since it is smaller than the sum of its proper divisors (964326956472).

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

516348024768 is a wasteful number, since it uses less digits than its factorization.

516348024768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397714 (or 397701 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 516348024768 in words is "five hundred sixteen billion, three hundred forty-eight million, twenty-four thousand, seven hundred sixty-eight".