8331133608864 has 1344 divisors, whose sum is σ = 29385363409920. Its totient is φ = 2296594944000.

The previous prime is 8331133608827. The next prime is 8331133608887. The reversal of 8331133608864 is 4688063311338.

8331133608864 is a `hidden beast` number, since 8 + 33 + 113 + 360 + 88 + 64 = 666.

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 8331133608864.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14192731579 + ... + 14192732165.

It is an arithmetic number, because the mean of its divisors is an integer number (21864109680).

Almost surely, 2^{8331133608864} 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 8331133608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692681704960).

8331133608864 is an abundant number, since it is smaller than the sum of its proper divisors (21054229801056).

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

8331133608864 is a wasteful number, since it uses less digits than its factorization.

8331133608864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 734 counting only the distinct ones).

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

The spelling of 8331133608864 in words is "eight trillion, three hundred thirty-one billion, one hundred thirty-three million, six hundred eight thousand, eight hundred sixty-four".