232904942308224 has 768 divisors, whose sum is σ = 743670360576000. Its totient is φ = 69720151818240.

The previous prime is 232904942308151. The next prime is 232904942308237. The reversal of 232904942308224 is 422803249409232.

232904942308224 is a `hidden beast` number, since 2 + 3 + 29 + 0 + 4 + 94 + 2 + 308 + 224 = 666.

It is a congruent number.

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, 5262533904 + ... + 5262578160.

It is an arithmetic number, because the mean of its divisors is an integer number (968320782000).

Almost surely, 2^{232904942308224} is an apocalyptic number.

232904942308224 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 232904942308224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371835180288000).

232904942308224 is an abundant number, since it is smaller than the sum of its proper divisors (510765418267776).

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

232904942308224 is a wasteful number, since it uses less digits than its factorization.

232904942308224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44523 (or 44508 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 232904942308224 in words is "two hundred thirty-two trillion, nine hundred four billion, nine hundred forty-two million, three hundred eight thousand, two hundred twenty-four".