189301432320 has 2688 divisors, whose sum is σ = 961779087360. Its totient is φ = 34398535680.

The previous prime is 189301432319. The next prime is 189301432379. The reversal of 189301432320 is 23234103981.

189301432320 is a `hidden beast` number, since 1 + 8 + 9 + 301 + 4 + 323 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9963233271 + ... + 9963233289.

It is an arithmetic number, because the mean of its divisors is an integer number (357804720).

Almost surely, 2^189301432320 is an apocalyptic number.

189301432320 is a gapful number since it is divisible by the number (10) 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 189301432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480889543680).

189301432320 is an abundant number, since it is smaller than the sum of its proper divisors (772477655040).

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

189301432320 is a wasteful number, since it uses less digits than its factorization.

189301432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 189301432320 in words is "one hundred eighty-nine billion, three hundred one million, four hundred thirty-two thousand, three hundred twenty".