189979284096 has 192 divisors, whose sum is σ = 630625020480. Its totient is φ = 53772263424.

The previous prime is 189979284059. The next prime is 189979284109. The reversal of 189979284096 is 690482979981.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 752760 + ... + 972936.

It is an arithmetic number, because the mean of its divisors is an integer number (3284505315).

Almost surely, 2^189979284096 is an apocalyptic number.

189979284096 is a gapful number since it is divisible by the number (16) 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 189979284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315312510240).

189979284096 is an abundant number, since it is smaller than the sum of its proper divisors (440645736384).

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

189979284096 is a wasteful number, since it uses less digits than its factorization.

189979284096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220311 (or 220296 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 189979284096 in words is "one hundred eighty-nine billion, nine hundred seventy-nine million, two hundred eighty-four thousand, ninety-six".