516466446336 has 351 divisors, whose sum is σ = 1582514887161. Its totient is φ = 162266775552.

The previous prime is 516466446289. The next prime is 516466446373. The reversal of 516466446336 is 633644664615.

The square root of 516466446336 is 718656.

It is a perfect power (a square), and thus also a powerful number.

516466446336 is a `hidden beast` number, since 5 + 164 + 6 + 6 + 446 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 506033049600 + 10433396736 = 711360^2 + 102144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2621656990 + ... + 2621657186.

Almost surely, 2^516466446336 is an apocalyptic number.

516466446336 is the 718656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516466446336

516466446336 is an abundant number, since it is smaller than the sum of its proper divisors (1066048440825).

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

516466446336 is an equidigital number, since it uses as much as digits as its factorization.

516466446336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 221 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 516466446336 in words is "five hundred sixteen billion, four hundred sixty-six million, four hundred forty-six thousand, three hundred thirty-six".