189813829196160 has 5376 divisors, whose sum is σ = 852719400648000. Its totient is φ = 40067414360064.

The previous prime is 189813829196137. The next prime is 189813829196263. The reversal of 189813829196160 is 61691928318981.

189813829196160 is a `hidden beast` number, since 1 + 8 + 9 + 81 + 382 + 9 + 1 + 9 + 6 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 671 ways as a sum of consecutive naturals, for example, 738575210752 + ... + 738575211008.

Almost surely, 2^{189813829196160} is an apocalyptic number.

189813829196160 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 189813829196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426359700324000).

189813829196160 is an abundant number, since it is smaller than the sum of its proper divisors (662905571451840).

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

189813829196160 is a wasteful number, since it uses less digits than its factorization.

189813829196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 72.

The spelling of 189813829196160 in words is "one hundred eighty-nine trillion, eight hundred thirteen billion, eight hundred twenty-nine million, one hundred ninety-six thousand, one hundred sixty".