189521325028224 has 768 divisors, whose sum is σ = 639073146816000. Its totient is φ = 52793076989952.

The previous prime is 189521325028223. The next prime is 189521325028247. The reversal of 189521325028224 is 422820523125981.

189521325028224 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 2 + 1 + 32 + 502 + 82 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189521325028223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45789155947 + ... + 45789160085.

It is an arithmetic number, because the mean of its divisors is an integer number (832126493250).

Almost surely, 2^{189521325028224} is an apocalyptic number.

189521325028224 is a gapful number since it is divisible by the number (14) 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 189521325028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319536573408000).

189521325028224 is an abundant number, since it is smaller than the sum of its proper divisors (449551821787776).

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

189521325028224 is a wasteful number, since it uses less digits than its factorization.

189521325028224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 189521325028224 in words is "one hundred eighty-nine trillion, five hundred twenty-one billion, three hundred twenty-five million, twenty-eight thousand, two hundred twenty-four".