16889765600656 has 135 divisors (see below), whose sum is σ = 37649887097961. Its totient is φ = 7335152627712.

The previous prime is 16889765600597. The next prime is 16889765600677. The reversal of 16889765600656 is 65600656798861.

The square root of 16889765600656 is 4109716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 969665600656 + 15920100000000 = 984716^2 + 3990000^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3632986620 + ... + 3632991268.

Almost surely, 2^{16889765600656} is an apocalyptic number.

16889765600656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16889765600656 is the 4109716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16889765600656

16889765600656 is an abundant number, since it is smaller than the sum of its proper divisors (20760121497305).

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

16889765600656 is an frugal number, since it uses more digits than its factorization.

16889765600656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 73.

The spelling of 16889765600656 in words is "sixteen trillion, eight hundred eighty-nine billion, seven hundred sixty-five million, six hundred thousand, six hundred fifty-six".