16787023256809 has 81 divisors (see below), whose sum is σ = 19374149724741. Its totient is φ = 14537510507520.

The previous prime is 16787023256779. The next prime is 16787023256821. The reversal of 16787023256809 is 90865232078761.

The square root of 16787023256809 is 4097197.

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

16787023256809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6332535701209 + 10454487555600 = 2516453^2 + 3233340^2 .

It is not a de Polignac number, because 16787023256809 - 2¹¹ = 16787023254761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16787023256869) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 86979395017 + ... + 86979395209.

Almost surely, 2^{16787023256809} is an apocalyptic number.

16787023256809 is the 4097197-th square number.

16787023256809 is the 2048599-th centered octagonal number.

It is an amenable number.

16787023256809 is a deficient number, since it is larger than the sum of its proper divisors (2587126467932).

16787023256809 is an frugal number, since it uses more digits than its factorization.

16787023256809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 16787023256809 in words is "sixteen trillion, seven hundred eighty-seven billion, twenty-three million, two hundred fifty-six thousand, eight hundred nine".