331638487288416 has 384 divisors, whose sum is σ = 1222943478865920. Its totient is φ = 84926628057600.

The previous prime is 331638487288397. The next prime is 331638487288477. The reversal of 331638487288416 is 614882784836133.

331638487288416 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 38 + 487 + 28 + 84 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30381766 + ... + 39828741.

It is an arithmetic number, because the mean of its divisors is an integer number (3184748642880).

Almost surely, 2^{331638487288416} is an apocalyptic number.

331638487288416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

331638487288416 is an abundant number, since it is smaller than the sum of its proper divisors (891304991577504).

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

331638487288416 is a wasteful number, since it uses less digits than its factorization.

331638487288416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70210615 (or 70210601 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 331638487288416 in words is "three hundred thirty-one trillion, six hundred thirty-eight billion, four hundred eighty-seven million, two hundred eighty-eight thousand, four hundred sixteen".