189286231680 has 1152 divisors, whose sum is σ = 854814280320. Its totient is φ = 38183878656.

The previous prime is 189286231643. The next prime is 189286231691. The reversal of 189286231680 is 86132682981.

189286231680 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 8 + 623 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×189286231680² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84388639 + ... + 84390881.

It is an arithmetic number, because the mean of its divisors is an integer number (742026285).

Almost surely, 2^189286231680 is an apocalyptic number.

189286231680 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 189286231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427407140160).

189286231680 is an abundant number, since it is smaller than the sum of its proper divisors (665528048640).

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

189286231680 is a wasteful number, since it uses less digits than its factorization.

189286231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 189286231680 in words is "one hundred eighty-nine billion, two hundred eighty-six million, two hundred thirty-one thousand, six hundred eighty".