230003242300032 has 256 divisors, whose sum is σ = 635724488448000. Its totient is φ = 73590593126400.

The previous prime is 230003242300021. The next prime is 230003242300103.

It is a happy number.

230003242300032 is nontrivially palindromic in base 10.

230003242300032 is digitally balanced in base 2, 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 junction number, because it is equal to n+sod(n) for n = 230003242299975 and 230003242300011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334418657 + ... + 1334591007.

It is an arithmetic number, because the mean of its divisors is an integer number (2483298783000).

Almost surely, 2^{230003242300032} 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 230003242300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317862244224000).

230003242300032 is an abundant number, since it is smaller than the sum of its proper divisors (405721246147968).

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

230003242300032 is a wasteful number, since it uses less digits than its factorization.

230003242300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173099 (or 173087 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The spelling of 230003242300032 in words is "two hundred thirty trillion, three billion, two hundred forty-two million, three hundred thousand, thirty-two".