331332284160 has 288 divisors, whose sum is σ = 1176767592000. Its totient is φ = 88280285184.

The previous prime is 331332284147. The next prime is 331332284167. The reversal of 331332284160 is 61482233133.

331332284160 is a `hidden beast` number, since 3 + 3 + 13 + 3 + 228 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331332284167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49382886 + ... + 49389594.

Almost surely, 2^331332284160 is an apocalyptic number.

331332284160 is a gapful number since it is divisible by the number (30) 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 331332284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588383796000).

331332284160 is an abundant number, since it is smaller than the sum of its proper divisors (845435307840).

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

331332284160 is a wasteful number, since it uses less digits than its factorization.

331332284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 331332284160 in words is "three hundred thirty-one billion, three hundred thirty-two million, two hundred eighty-four thousand, one hundred sixty".