232334303433232 has 480 divisors, whose sum is σ = 641227768796160. Its totient is φ = 79133915520000.

The previous prime is 232334303433119. The next prime is 232334303433233.

232334303433232 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (232334303433233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12729940107 + ... + 12729958357.

It is an arithmetic number, because the mean of its divisors is an integer number (1335891184992).

Almost surely, 2^{232334303433232} is an apocalyptic number.

232334303433232 is a gapful number since it is divisible by the number (22) 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 232334303433232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320613884398080).

232334303433232 is an abundant number, since it is smaller than the sum of its proper divisors (408893465362928).

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

232334303433232 is a wasteful number, since it uses less digits than its factorization.

232334303433232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22123 (or 22106 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 40.

It can be divided in two parts, 23233430 and 3433232, that added together give a palindrome (26666662).

The spelling of 232334303433232 in words is "two hundred thirty-two trillion, three hundred thirty-four billion, three hundred three million, four hundred thirty-three thousand, two hundred thirty-two".