516326713344 has 864 divisors, whose sum is σ = 1744622530560. Its totient is φ = 146146000896.

The previous prime is 516326713333. The next prime is 516326713367. The reversal of 516326713344 is 443317623615.

516326713344 is a `hidden beast` number, since 5 + 1 + 632 + 6 + 7 + 1 + 3 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 516326713344.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4065564609 + ... + 4065564735.

It is an arithmetic number, because the mean of its divisors is an integer number (2019239040).

Almost surely, 2^516326713344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516326713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872311265280).

516326713344 is an abundant number, since it is smaller than the sum of its proper divisors (1228295817216).

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

516326713344 is a wasteful number, since it uses less digits than its factorization.

516326713344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 211 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 516326713344 in words is "five hundred sixteen billion, three hundred twenty-six million, seven hundred thirteen thousand, three hundred forty-four".