189681288192 has 792 divisors, whose sum is σ = 648828583200. Its totient is φ = 54682214400.

The previous prime is 189681288191. The next prime is 189681288193. The reversal of 189681288192 is 291882186981.

189681288192 is a `hidden beast` number, since 1 + 8 + 96 + 81 + 288 + 192 = 666.

It is an interprime number because it is at equal distance from previous prime (189681288191) and next prime (189681288193).

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-3 number, since 3×189681288192³ (a number of 35 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (189681288191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3214937059 + ... + 3214937117.

Almost surely, 2^189681288192 is an apocalyptic number.

189681288192 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 189681288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324414291600).

189681288192 is an abundant number, since it is smaller than the sum of its proper divisors (459147295008).

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

189681288192 is a wasteful number, since it uses less digits than its factorization.

189681288192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 106 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 63.

The spelling of 189681288192 in words is "one hundred eighty-nine billion, six hundred eighty-one million, two hundred eighty-eight thousand, one hundred ninety-two".