189905120064 has 504 divisors, whose sum is σ = 621639222048. Its totient is φ = 54965514240.

The previous prime is 189905120033. The next prime is 189905120087. The reversal of 189905120064 is 460021509981.

189905120064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 836586319 + ... + 836586545.

Almost surely, 2^189905120064 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 189905120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310819611024).

189905120064 is an abundant number, since it is smaller than the sum of its proper divisors (431734101984).

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

189905120064 is a wasteful number, since it uses less digits than its factorization.

189905120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 189905120064 in words is "one hundred eighty-nine billion, nine hundred five million, one hundred twenty thousand, sixty-four".