51337167680016 has 135 divisors (see below), whose sum is σ = 147272563153677. Its totient is φ = 16693867480320.

The previous prime is 51337167679943. The next prime is 51337167680047. The reversal of 51337167680016 is 61008676173315.

The square root of 51337167680016 is 7164996.

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

51337167680016 is a `hidden beast` number, since 513 + 3 + 7 + 1 + 67 + 68 + 0 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2473712422416 + 48863455257600 = 1572804^2 + 6990240^2 .

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, 3525170751 + ... + 3525185313.

Almost surely, 2^{51337167680016} is an apocalyptic number.

51337167680016 is the 7164996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51337167680016

51337167680016 is an abundant number, since it is smaller than the sum of its proper divisors (95935395473661).

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

51337167680016 is an frugal number, since it uses more digits than its factorization.

51337167680016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29222 (or 14609 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 51337167680016 in words is "fifty-one trillion, three hundred thirty-seven billion, one hundred sixty-seven million, six hundred eighty thousand, sixteen".