516283468704 has 84 divisors (see below), whose sum is σ = 1523952545346. Its totient is φ = 172094481792.

The previous prime is 516283468639. The next prime is 516283468741. The reversal of 516283468704 is 407864382615.

It is a happy number.

516283468704 is a `hidden beast` number, since 5 + 1 + 628 + 3 + 4 + 6 + 8 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 471062595600 + 45220873104 = 686340^2 + 212652^2 .

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 (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11042419 + ... + 11089074.

Almost surely, 2^516283468704 is an apocalyptic number.

516283468704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

516283468704 is an abundant number, since it is smaller than the sum of its proper divisors (1007669076642).

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

516283468704 is an equidigital number, since it uses as much as digits as its factorization.

516283468704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22131521 (or 22131498 counting only the distinct ones).

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

The spelling of 516283468704 in words is "five hundred sixteen billion, two hundred eighty-three million, four hundred sixty-eight thousand, seven hundred four".