232688208384 has 160 divisors (see below), whose sum is σ = 689313768000. Its totient is φ = 77501878272.

The previous prime is 232688208353. The next prime is 232688208391. The reversal of 232688208384 is 483802886232.

It is a happy number.

232688208384 is a `hidden beast` number, since 2 + 326 + 88 + 208 + 38 + 4 = 666.

232688208384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 232688208384.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19748607 + ... + 19760385.

It is an arithmetic number, because the mean of its divisors is an integer number (4308211050).

Almost surely, 2^232688208384 is an apocalyptic number.

232688208384 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 232688208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344656884000).

232688208384 is an abundant number, since it is smaller than the sum of its proper divisors (456625559616).

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

232688208384 is a wasteful number, since it uses less digits than its factorization.

232688208384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13235 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 232688208384 in words is "two hundred thirty-two billion, six hundred eighty-eight million, two hundred eight thousand, three hundred eighty-four".