189442482131700 has 3456 divisors, whose sum is σ = 803660562432000. Its totient is φ = 37701668505600.

The previous prime is 189442482131689. The next prime is 189442482131753. The reversal of 189442482131700 is 7131284244981.

It is a happy number.

189442482131700 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 424 + 82 + 131 + 7 + 0 + 0 = 666.

189442482131700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×189442482131700² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 527694936121 + ... + 527694936479.

It is an arithmetic number, because the mean of its divisors is an integer number (232540672000).

Almost surely, 2^{189442482131700} is an apocalyptic number.

189442482131700 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 189442482131700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401830281216000).

189442482131700 is an abundant number, since it is smaller than the sum of its proper divisors (614218080300300).

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

189442482131700 is a wasteful number, since it uses less digits than its factorization.

189442482131700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 189442482131700 in words is "one hundred eighty-nine trillion, four hundred forty-two billion, four hundred eighty-two million, one hundred thirty-one thousand, seven hundred".