331337664 has 168 divisors, whose sum is σ = 1115230688. Its totient is φ = 92067840.

The previous prime is 331337659. The next prime is 331337681. The reversal of 331337664 is 466733133.

It is a tau number, because it is divible by the number of its divisors (168).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148074 + ... + 150294.

Almost surely, 2^331337664 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 331337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557615344).

331337664 is an abundant number, since it is smaller than the sum of its proper divisors (783893024).

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

331337664 is a wasteful number, since it uses less digits than its factorization.

331337664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2270 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The square root of 331337664 is about 18202.6828791802. The cubic root of 331337664 is about 691.9747838495.

The spelling of 331337664 in words is "three hundred thirty-one million, three hundred thirty-seven thousand, six hundred sixty-four".