16189493040864 has 576 divisors, whose sum is σ = 54741868796160. Its totient is φ = 4473919733760.

The previous prime is 16189493040757. The next prime is 16189493040937. The reversal of 16189493040864 is 46804039498161.

16189493040864 is a `hidden beast` number, since 1 + 6 + 1 + 89 + 4 + 93 + 0 + 408 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2472807639 + ... + 2472814185.

It is an arithmetic number, because the mean of its divisors is an integer number (95037966660).

Almost surely, 2^{16189493040864} 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 16189493040864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27370934398080).

16189493040864 is an abundant number, since it is smaller than the sum of its proper divisors (38552375755296).

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

16189493040864 is a wasteful number, since it uses less digits than its factorization.

16189493040864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 16189493040864 in words is "sixteen trillion, one hundred eighty-nine billion, four hundred ninety-three million, forty thousand, eight hundred sixty-four".