230233202332032 has 128 divisors (see below), whose sum is σ = 613856817792000. Its totient is φ = 76455813761024.

The previous prime is 230233202332019. The next prime is 230233202332033.

230233202332032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230233202332033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4071796753 + ... + 4071853295.

It is an arithmetic number, because the mean of its divisors is an integer number (4795756389000).

Almost surely, 2^{230233202332032} 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 230233202332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306928408896000).

230233202332032 is an abundant number, since it is smaller than the sum of its proper divisors (383623615459968).

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

230233202332032 is a wasteful number, since it uses less digits than its factorization.

230233202332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96248 (or 96236 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 23023320 and 2332032, that added together give a palindrome (25355352).

The spelling of 230233202332032 in words is "two hundred thirty trillion, two hundred thirty-three billion, two hundred two million, three hundred thirty-two thousand, thirty-two".