331338112 has 64 divisors (see below), whose sum is σ = 794131200. Its totient is φ = 134521344.

The previous prime is 331338101. The next prime is 331338113. The reversal of 331338112 is 211833133.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331338113) 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, 7293 + ... + 26755.

It is an arithmetic number, because the mean of its divisors is an integer number (12408300).

Almost surely, 2^331338112 is an apocalyptic number.

331338112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397065600).

331338112 is an abundant number, since it is smaller than the sum of its proper divisors (462793088).

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

331338112 is a wasteful number, since it uses less digits than its factorization.

331338112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19503 (or 19491 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 331338112 is about 18202.6951850543. The cubic root of 331338112 is about 691.9750957213.

The spelling of 331338112 in words is "three hundred thirty-one million, three hundred thirty-eight thousand, one hundred twelve".