232330032000 has 1280 divisors, whose sum is σ = 965756563200. Its totient is φ = 54867456000.

The previous prime is 232330031917. The next prime is 232330032013. The reversal of 232330032000 is 230033232.

232330032000 is a `hidden beast` number, since 23 + 23 + 300 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 613007811 + ... + 613008189.

It is an arithmetic number, because the mean of its divisors is an integer number (754497315).

Almost surely, 2^232330032000 is an apocalyptic number.

232330032000 is a gapful number since it is divisible by the number (20) 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 232330032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482878281600).

232330032000 is an abundant number, since it is smaller than the sum of its proper divisors (733426531200).

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

232330032000 is a wasteful number, since it uses less digits than its factorization.

232330032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 232330032000 its reverse (230033232), we get a palindrome (232560065232).

The spelling of 232330032000 in words is "two hundred thirty-two billion, three hundred thirty million, thirty-two thousand".