331695689308416 has 108 divisors (see below), whose sum is σ = 956365651200960. Its totient is φ = 110564627819520.

The previous prime is 331695689308411. The next prime is 331695689308429. The reversal of 331695689308416 is 614803986596133.

331695689308416 is a `hidden beast` number, since 3 + 3 + 1 + 69 + 5 + 68 + 93 + 0 + 8 + 416 = 666.

It is a super-2 number, since 2×331695689308416² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (331695689308411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 676741645 + ... + 677231603.

It is an arithmetic number, because the mean of its divisors is an integer number (8855237511120).

Almost surely, 2^{331695689308416} is an apocalyptic number.

331695689308416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

331695689308416 is an abundant number, since it is smaller than the sum of its proper divisors (624669961892544).

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

331695689308416 is a wasteful number, since it uses less digits than its factorization.

331695689308416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783812 (or 783795 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 331695689308416 in words is "three hundred thirty-one trillion, six hundred ninety-five billion, six hundred eighty-nine million, three hundred eight thousand, four hundred sixteen".