232538343689344 has 768 divisors, whose sum is σ = 640420007040000. Its totient is φ = 82871457177600.

The previous prime is 232538343689279. The next prime is 232538343689383. The reversal of 232538343689344 is 443986343835232.

232538343689344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 232538343689344.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6353661957 + ... + 6353698555.

It is an arithmetic number, because the mean of its divisors is an integer number (833880217500).

Almost surely, 2^{232538343689344} 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 232538343689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320210003520000).

232538343689344 is an abundant number, since it is smaller than the sum of its proper divisors (407881663350656).

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

232538343689344 is a wasteful number, since it uses less digits than its factorization.

232538343689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36825 (or 36806 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 67.

The spelling of 232538343689344 in words is "two hundred thirty-two trillion, five hundred thirty-eight billion, three hundred forty-three million, six hundred eighty-nine thousand, three hundred forty-four".