331616016 has 30 divisors (see below), whose sum is σ = 928064670. Its totient is φ = 110538624.

The previous prime is 331616003. The next prime is 331616029. The reversal of 331616016 is 610616133.

It is a happy number.

331616016 is a `hidden beast` number, since 3 + 31 + 616 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (331616003) and next prime (331616029).

It can be written as a sum of positive squares in only one way, i.e., 331385616 + 230400 = 18204^2 + 480^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1151301 + ... + 1151588.

It is an arithmetic number, because the mean of its divisors is an integer number (30935489).

Almost surely, 2^331616016 is an apocalyptic number.

331616016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

331616016 is an abundant number, since it is smaller than the sum of its proper divisors (596448654).

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

331616016 is a wasteful number, since it uses less digits than its factorization.

331616016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302903 (or 2302894 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 331616016 is about 18210.3271799273. The cubic root of 331616016 is about 692.1685022966.

The spelling of 331616016 in words is "three hundred thirty-one million, six hundred sixteen thousand, sixteen".