189856705104 has 240 divisors, whose sum is σ = 603851976000. Its totient is φ = 55176652800.

The previous prime is 189856705079. The next prime is 189856705111. The reversal of 189856705104 is 401507658981.

It is a happy number.

189856705104 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 56 + 70 + 510 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3806922 + ... + 3856470.

It is an arithmetic number, because the mean of its divisors is an integer number (2516049900).

Almost surely, 2^189856705104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189856705104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301925988000).

189856705104 is an abundant number, since it is smaller than the sum of its proper divisors (413995270896).

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

189856705104 is a wasteful number, since it uses less digits than its factorization.

189856705104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49674 (or 49665 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 189856705104 in words is "one hundred eighty-nine billion, eight hundred fifty-six million, seven hundred five thousand, one hundred four".