189318293618688 has 1216 divisors, whose sum is σ = 645339080171520. Its totient is φ = 54336436568064.

The previous prime is 189318293618651. The next prime is 189318293618731. The reversal of 189318293618688 is 886816392813981.

189318293618688 is a `hidden beast` number, since 1 + 8 + 9 + 318 + 2 + 93 + 61 + 86 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198655082020 + ... + 198655082972.

Almost surely, 2^{189318293618688} is an apocalyptic number.

189318293618688 is a gapful number since it is divisible by the number (18) 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 189318293618688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322669540085760).

189318293618688 is an abundant number, since it is smaller than the sum of its proper divisors (456020786552832).

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

189318293618688 is an equidigital number, since it uses as much as digits as its factorization.

189318293618688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1115 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 81.

The spelling of 189318293618688 in words is "one hundred eighty-nine trillion, three hundred eighteen billion, two hundred ninety-three million, six hundred eighteen thousand, six hundred eighty-eight".