16809073412769 has 45 divisors (see below), whose sum is σ = 27600749980419. Its totient is φ = 10187071226640.

The previous prime is 16809073412749. The next prime is 16809073412773. The reversal of 16809073412769 is 96721437090861.

The square root of 16809073412769 is 4099887.

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

16809073412769 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 90 + 73 + 412 + 7 + 69 = 666.

16809073412769 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 only one way, i.e., 13413942875025 + 3395130537744 = 3662505^2 + 1842588^2 .

It is not a de Polignac number, because 16809073412769 - 2⁵ = 16809073412737 is a prime.

It is a super-3 number, since 3×16809073412769³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (16809073412749) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 405868107 + ... + 405909519.

Almost surely, 2^{16809073412769} is an apocalyptic number.

16809073412769 is the 4099887-th square number.

16809073412769 is the 2049944-th centered octagonal number.

It is an amenable number.

16809073412769 is a deficient number, since it is larger than the sum of its proper divisors (10791676567650).

16809073412769 is an frugal number, since it uses more digits than its factorization.

16809073412769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82860 (or 41427 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 16809073412769 in words is "sixteen trillion, eight hundred nine billion, seventy-three million, four hundred twelve thousand, seven hundred sixty-nine".