189831438720 has 768 divisors, whose sum is σ = 845500032000. Its totient is φ = 38082723840.

The previous prime is 189831438697. The next prime is 189831438721. The reversal of 189831438720 is 27834138981.

It is a happy number.

189831438720 is a `hidden beast` number, since 189 + 8 + 3 + 1 + 438 + 7 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189831438721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12854701 + ... + 12869459.

It is an arithmetic number, because the mean of its divisors is an integer number (1100911500).

Almost surely, 2^189831438720 is an apocalyptic number.

189831438720 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 189831438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422750016000).

189831438720 is an abundant number, since it is smaller than the sum of its proper divisors (655668593280).

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

189831438720 is a wasteful number, since it uses less digits than its factorization.

189831438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14831 (or 14816 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 189831438720 in words is "one hundred eighty-nine billion, eight hundred thirty-one million, four hundred thirty-eight thousand, seven hundred twenty".