232113032000 has 112 divisors (see below), whose sum is σ = 576463344912. Its totient is φ = 92581068800.

The previous prime is 232113031981. The next prime is 232113032059. The reversal of 232113032000 is 230311232.

It can be written as a sum of positive squares in 8 ways, for example, as 164037960256 + 68075071744 = 405016^2 + 260912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232113032000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2782904 + ... + 2865096.

It is an arithmetic number, because the mean of its divisors is an integer number (5146994151).

Almost surely, 2^232113032000 is an apocalyptic number.

232113032000 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 232113032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288231672456).

232113032000 is an abundant number, since it is smaller than the sum of its proper divisors (344350312912).

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

232113032000 is an equidigital number, since it uses as much as digits as its factorization.

232113032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82573 (or 82553 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 232113032000 its reverse (230311232), we get a palindrome (232343343232).

The spelling of 232113032000 in words is "two hundred thirty-two billion, one hundred thirteen million, thirty-two thousand".