232416608661216 has 1536 divisors, whose sum is σ = 852147678412800. Its totient is φ = 60174096998400.

The previous prime is 232416608661199. The next prime is 232416608661221. The reversal of 232416608661216 is 612166806614232.

232416608661216 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 1 + 6 + 6 + 0 + 8 + 6 + 612 + 16 = 666.

232416608661216 is digitally balanced in base 2, 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50558320230 + ... + 50558324826.

It is an arithmetic number, because the mean of its divisors is an integer number (554783644800).

Almost surely, 2^{232416608661216} 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 232416608661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426073839206400).

232416608661216 is an abundant number, since it is smaller than the sum of its proper divisors (619731069751584).

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

232416608661216 is a wasteful number, since it uses less digits than its factorization.

232416608661216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 232416608661216 in words is "two hundred thirty-two trillion, four hundred sixteen billion, six hundred eight million, six hundred sixty-one thousand, two hundred sixteen".