331236166464616 has 288 divisors, whose sum is σ = 758198397884760. Its totient is φ = 135232999759872.

The previous prime is 331236166464569. The next prime is 331236166464629. The reversal of 331236166464616 is 616464661632133.

It can be written as a sum of positive squares in 12 ways, for example, as 134259264220900 + 196976902243716 = 11587030^2 + 14034846^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5366985790 + ... + 5367047506.

Almost surely, 2^{331236166464616} 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 331236166464616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379099198942380).

331236166464616 is an abundant number, since it is smaller than the sum of its proper divisors (426962231420144).

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

331236166464616 is a wasteful number, since it uses less digits than its factorization.

331236166464616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62021 (or 61973 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 58.

The spelling of 331236166464616 in words is "three hundred thirty-one trillion, two hundred thirty-six billion, one hundred sixty-six million, four hundred sixty-four thousand, six hundred sixteen".