232785770507136 has 2048 divisors, whose sum is σ = 925436687155200. Its totient is φ = 55800128102400.

The previous prime is 232785770507107. The next prime is 232785770507221. The reversal of 232785770507136 is 631705077587232.

232785770507136 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 8 + 57 + 70 + 507 + 1 + 3 + 6 = 666.

232785770507136 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 (63).

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, 69633791481 + ... + 69633794823.

It is an arithmetic number, because the mean of its divisors is an integer number (451873382400).

Almost surely, 2^{232785770507136} 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 232785770507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462718343577600).

232785770507136 is an abundant number, since it is smaller than the sum of its proper divisors (692650916648064).

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

232785770507136 is a wasteful number, since it uses less digits than its factorization.

232785770507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 63.

The spelling of 232785770507136 in words is "two hundred thirty-two trillion, seven hundred eighty-five billion, seven hundred seventy million, five hundred seven thousand, one hundred thirty-six".