330220133232 has 320 divisors, whose sum is σ = 960714224640. Its totient is φ = 96899891200.

The previous prime is 330220133213. The next prime is 330220133297. The reversal of 330220133232 is 232331022033.

330220133232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580351444 + ... + 580352012.

It is an arithmetic number, because the mean of its divisors is an integer number (3002231952).

Almost surely, 2^330220133232 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 330220133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480357112320).

330220133232 is an abundant number, since it is smaller than the sum of its proper divisors (630494091408).

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

330220133232 is a wasteful number, since it uses less digits than its factorization.

330220133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 330220133232 its reverse (232331022033), we get a palindrome (562551155265).

The spelling of 330220133232 in words is "three hundred thirty billion, two hundred twenty million, one hundred thirty-three thousand, two hundred thirty-two".