189895179264 has 352 divisors, whose sum is σ = 602075037696. Its totient is φ = 52068925440.

The previous prime is 189895179239. The next prime is 189895179301. The reversal of 189895179264 is 462971598981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84660127 + ... + 84662369.

It is an arithmetic number, because the mean of its divisors is an integer number (1710440448).

Almost surely, 2^189895179264 is an apocalyptic number.

189895179264 is a gapful number since it is divisible by the number (14) 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 189895179264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301037518848).

189895179264 is an abundant number, since it is smaller than the sum of its proper divisors (412179858432).

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

189895179264 is a wasteful number, since it uses less digits than its factorization.

189895179264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2413 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 69.

The spelling of 189895179264 in words is "one hundred eighty-nine billion, eight hundred ninety-five million, one hundred seventy-nine thousand, two hundred sixty-four".