189238544932800 has 1008 divisors, whose sum is σ = 685507522210560. Its totient is φ = 45669928550400.

The previous prime is 189238544932799. The next prime is 189238544932819. The reversal of 189238544932800 is 8239445832981.

It is a super-2 number, since 2×189238544932800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 228825325987 + ... + 228825326813.

It is an arithmetic number, because the mean of its divisors is an integer number (680066986320).

Almost surely, 2^{189238544932800} is an apocalyptic number.

189238544932800 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 189238544932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342753761105280).

189238544932800 is an abundant number, since it is smaller than the sum of its proper divisors (496268977277760).

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

189238544932800 is a wasteful number, since it uses less digits than its factorization.

189238544932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 66.

The spelling of 189238544932800 in words is "one hundred eighty-nine trillion, two hundred thirty-eight billion, five hundred forty-four million, nine hundred thirty-two thousand, eight hundred".