189365477446656 has 1188 divisors, whose sum is σ = 665684113682016. Its totient is φ = 53679183667200.

The previous prime is 189365477446643. The next prime is 189365477446729. The reversal of 189365477446656 is 656644774563981.

189365477446656 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 6 + 54 + 77 + 446 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 43125818221 + ... + 43125822611.

It is an arithmetic number, because the mean of its divisors is an integer number (560340163032).

Almost surely, 2^{189365477446656} is an apocalyptic number.

189365477446656 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 189365477446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332842056841008).

189365477446656 is an abundant number, since it is smaller than the sum of its proper divisors (476318636235360).

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

189365477446656 is an frugal number, since it uses more digits than its factorization.

189365477446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4534 counting only the distinct ones).

The product of its digits is 21946982400, while the sum is 81.

The spelling of 189365477446656 in words is "one hundred eighty-nine trillion, three hundred sixty-five billion, four hundred seventy-seven million, four hundred forty-six thousand, six hundred fifty-six".