331992144 has 120 divisors (see below), whose sum is σ = 1046433024. Its totient is φ = 97344000.

The previous prime is 331992139. The next prime is 331992173. The reversal of 331992144 is 441299133.

331992144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×331992144² = 220437567355433472, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 331992099 and 331992108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45724 + ... + 52484.

Almost surely, 2^331992144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331992144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523216512).

331992144 is an abundant number, since it is smaller than the sum of its proper divisors (714440880).

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

331992144 is a wasteful number, since it uses less digits than its factorization.

331992144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6808 counting only the distinct ones).

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

The square root of 331992144 is about 18220.6515800067. The cubic root of 331992144 is about 692.4300955994.

The spelling of 331992144 in words is "three hundred thirty-one million, nine hundred ninety-two thousand, one hundred forty-four".