232322242223232 has 768 divisors, whose sum is σ = 807097374720000. Its totient is φ = 62711011123200.

The previous prime is 232322242223221. The next prime is 232322242223249.

232322242223232 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 222 + 422 + 2 + 3 + 2 + 3 + 2 = 666.

232322242223232 is nontrivially palindromic in base 10.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7848974769 + ... + 7849004367.

It is an arithmetic number, because the mean of its divisors is an integer number (1050908040000).

Almost surely, 2^{232322242223232} 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 232322242223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403548687360000).

232322242223232 is an abundant number, since it is smaller than the sum of its proper divisors (574775132496768).

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

232322242223232 is a wasteful number, since it uses less digits than its factorization.

232322242223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30169 (or 30154 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

The spelling of 232322242223232 in words is "two hundred thirty-two trillion, three hundred twenty-two billion, two hundred forty-two million, two hundred twenty-three thousand, two hundred thirty-two".