331116542705664 has 135 divisors (see below), whose sum is σ = 956549895202447. Its totient is φ = 110369851736064.

The previous prime is 331116542705659. The next prime is 331116542705671. The reversal of 331116542705664 is 466507245611133.

The square root of 331116542705664 is 18196608.

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

331116542705664 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 1 + 6 + 5 + 4 + 2 + 70 + 566 + 4 = 666.

It is a super-2 number, since 2×331116542705664² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331116542705664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6987473779 + ... + 6987521165.

Almost surely, 2^{331116542705664} is an apocalyptic number.

331116542705664 is the 18196608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331116542705664

331116542705664 is an abundant number, since it is smaller than the sum of its proper divisors (625433352496783).

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

331116542705664 is an frugal number, since it uses more digits than its factorization.

331116542705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94808 (or 47392 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 331116542705664 in words is "three hundred thirty-one trillion, one hundred sixteen billion, five hundred forty-two million, seven hundred five thousand, six hundred sixty-four".