189515040864 has 192 divisors, whose sum is σ = 519061810176. Its totient is φ = 60495478784.

The previous prime is 189515040857. The next prime is 189515040899. The reversal of 189515040864 is 468040515981.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111675664 + ... + 111677360.

It is an arithmetic number, because the mean of its divisors is an integer number (2703446928).

Almost surely, 2^189515040864 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 189515040864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259530905088).

189515040864 is an abundant number, since it is smaller than the sum of its proper divisors (329546769312).

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

189515040864 is a wasteful number, since it uses less digits than its factorization.

189515040864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 189515040864 in words is "one hundred eighty-nine billion, five hundred fifteen million, forty thousand, eight hundred sixty-four".