189388834272 has 288 divisors, whose sum is σ = 596517457536. Its totient is φ = 56517811200.

The previous prime is 189388834213. The next prime is 189388834333. The reversal of 189388834272 is 272438883981.

189388834272 is a `hidden beast` number, since 189 + 38 + 88 + 342 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98077147 + ... + 98079077.

It is an arithmetic number, because the mean of its divisors is an integer number (2071241172).

Almost surely, 2^189388834272 is an apocalyptic number.

189388834272 is a gapful number since it is divisible by the number (12) 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 189388834272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298258728768).

189388834272 is an abundant number, since it is smaller than the sum of its proper divisors (407128623264).

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

189388834272 is a wasteful number, since it uses less digits than its factorization.

189388834272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2403 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 189388834272 in words is "one hundred eighty-nine billion, three hundred eighty-eight million, eight hundred thirty-four thousand, two hundred seventy-two".