189120691372032 has 2040 divisors, whose sum is σ = 732888194084640. Its totient is φ = 48157949952000.

The previous prime is 189120691372007. The next prime is 189120691372043. The reversal of 189120691372032 is 230273196021981.

189120691372032 is a `hidden beast` number, since 18 + 91 + 206 + 9 + 137 + 203 + 2 = 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 189120691372032.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 84016298907 + ... + 84016301157.

Almost surely, 2^{189120691372032} is an apocalyptic number.

189120691372032 is a gapful number since it is divisible by the number (12) 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 189120691372032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366444097042320).

189120691372032 is an abundant number, since it is smaller than the sum of its proper divisors (543767502712608).

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

189120691372032 is an equidigital number, since it uses as much as digits as its factorization.

189120691372032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 189120691372032 in words is "one hundred eighty-nine trillion, one hundred twenty billion, six hundred ninety-one million, three hundred seventy-two thousand, thirty-two".