189161806464 has 448 divisors, whose sum is σ = 601061160960. Its totient is φ = 59138906112.

The previous prime is 189161806459. The next prime is 189161806553. The reversal of 189161806464 is 464608161981.

189161806464 is a `hidden beast` number, since 18 + 9 + 1 + 618 + 0 + 6 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 189161806464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 113746497 + ... + 113748159.

Almost surely, 2^189161806464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189161806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300530580480).

189161806464 is an abundant number, since it is smaller than the sum of its proper divisors (411899354496).

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

189161806464 is an equidigital number, since it uses as much as digits as its factorization.

189161806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1744 counting only the distinct ones).

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

The spelling of 189161806464 in words is "one hundred eighty-nine billion, one hundred sixty-one million, eight hundred six thousand, four hundred sixty-four".