189000768000000 has 1456 divisors, whose sum is σ = 694331943687360. Its totient is φ = 45342720000000.

The previous prime is 189000767999903. The next prime is 189000768000043. The reversal of 189000768000000 is 867000981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 230207999590 + ... + 230208000410.

Almost surely, 2^{189000768000000} is an apocalyptic number.

189000768000000 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 189000768000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347165971843680).

189000768000000 is an abundant number, since it is smaller than the sum of its proper divisors (505331175687360).

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

189000768000000 is an frugal number, since it uses more digits than its factorization.

189000768000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 189000768000000 in words is "one hundred eighty-nine trillion, seven hundred sixty-eight million", and thus it is an aban number.