968153000733 has 12 divisors (see below), whose sum is σ = 1398846394140. Its totient is φ = 645249254976.

The previous prime is 968153000723. The next prime is 968153000761. The reversal of 968153000733 is 337000351869.

968153000733 is a `hidden beast` number, since 9 + 6 + 81 + 530 + 0 + 0 + 7 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8150839524 + 960002161209 = 90282^2 + 979797^2 .

It is not a de Polignac number, because 968153000733 - 2²⁶ = 968085891869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968153000713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15473616 + ... + 15536057.

It is an arithmetic number, because the mean of its divisors is an integer number (116570532845).

Almost surely, 2^968153000733 is an apocalyptic number.

It is an amenable number.

968153000733 is a deficient number, since it is larger than the sum of its proper divisors (430693393407).

968153000733 is a wasteful number, since it uses less digits than its factorization.

968153000733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31013148 (or 31013145 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 968153000733 in words is "nine hundred sixty-eight billion, one hundred fifty-three million, seven hundred thirty-three", and thus it is an aban number.