232089344450304 has 576 divisors, whose sum is σ = 702401195016192. Its totient is φ = 67396744396800.

The previous prime is 232089344450279. The next prime is 232089344450329. The reversal of 232089344450304 is 403054443980232.

It is an interprime number because it is at equal distance from previous prime (232089344450279) and next prime (232089344450329).

It is a super-2 number, since 2×232089344450304² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18193091094 + ... + 18193103850.

Almost surely, 2^{232089344450304} is an apocalyptic number.

232089344450304 is a gapful number since it is divisible by the number (24) 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 232089344450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351200597508096).

232089344450304 is an abundant number, since it is smaller than the sum of its proper divisors (470311850565888).

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

232089344450304 is a wasteful number, since it uses less digits than its factorization.

232089344450304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13492 (or 13478 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 51.

The spelling of 232089344450304 in words is "two hundred thirty-two trillion, eighty-nine billion, three hundred forty-four million, four hundred fifty thousand, three hundred four".