331312896 has 72 divisors (see below), whose sum is σ = 979770960. Its totient is φ = 110435328.

The previous prime is 331312889. The next prime is 331312897. The reversal of 331312896 is 698213133.

331312896 is a `hidden beast` number, since 331 + 312 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 331312896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331312897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17055 + ... + 30878.

It is an arithmetic number, because the mean of its divisors is an integer number (13607930).

Almost surely, 2^331312896 is an apocalyptic number.

331312896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

331312896 is an abundant number, since it is smaller than the sum of its proper divisors (648458064).

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

331312896 is an equidigital number, since it uses as much as digits as its factorization.

331312896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47958 (or 47938 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 331312896 is about 18202.0025271946. The cubic root of 331312896 is about 691.9575413601.

The spelling of 331312896 in words is "three hundred thirty-one million, three hundred twelve thousand, eight hundred ninety-six".