232906932043344 has 320 divisors, whose sum is σ = 746085134995200. Its totient is φ = 69071304960000.

The previous prime is 232906932043333. The next prime is 232906932043363. The reversal of 232906932043344 is 443340239609232.

232906932043344 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 0 + 6 + 93 + 204 + 3 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91743094 + ... + 94247594.

It is an arithmetic number, because the mean of its divisors is an integer number (2331516046860).

Almost surely, 2^{232906932043344} is an apocalyptic number.

232906932043344 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 232906932043344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373042567497600).

232906932043344 is an abundant number, since it is smaller than the sum of its proper divisors (513178202951856).

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

232906932043344 is a wasteful number, since it uses less digits than its factorization.

232906932043344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505131 (or 2505119 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 54.

The spelling of 232906932043344 in words is "two hundred thirty-two trillion, nine hundred six billion, nine hundred thirty-two million, forty-three thousand, three hundred forty-four".