331413168 has 80 divisors (see below), whose sum is σ = 895942656. Its totient is φ = 105454080.

The previous prime is 331413163. The next prime is 331413227. The reversal of 331413168 is 861314133.

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

It is not an unprimeable number, because it can be changed into a prime (331413163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90705 + ... + 94287.

Almost surely, 2^331413168 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 331413168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447971328).

331413168 is an abundant number, since it is smaller than the sum of its proper divisors (564529488).

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

331413168 is a wasteful number, since it uses less digits than its factorization.

331413168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3676 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 331413168 is about 18204.7567410279. The cubic root of 331413168 is about 692.0273414080.

The spelling of 331413168 in words is "three hundred thirty-one million, four hundred thirteen thousand, one hundred sixty-eight".