232208538768 has 240 divisors, whose sum is σ = 696654816000. Its totient is φ = 72067387392.

The previous prime is 232208538763. The next prime is 232208538791. The reversal of 232208538768 is 867835802232.

232208538768 is a `hidden beast` number, since 2 + 32 + 2 + 0 + 8 + 538 + 76 + 8 = 666.

232208538768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (232208538763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14177688 + ... + 14194056.

It is an arithmetic number, because the mean of its divisors is an integer number (2902728400).

Almost surely, 2^232208538768 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 232208538768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348327408000).

232208538768 is an abundant number, since it is smaller than the sum of its proper divisors (464446277232).

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

232208538768 is a wasteful number, since it uses less digits than its factorization.

232208538768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16534 (or 16525 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 232208538768 in words is "two hundred thirty-two billion, two hundred eight million, five hundred thirty-eight thousand, seven hundred sixty-eight".