16605672769 has 27 divisors (see below), whose sum is σ = 19843630761. Its totient is φ = 13855349760.

The previous prime is 16605672751. The next prime is 16605672773. The reversal of 16605672769 is 96727650661.

The square root of 16605672769 is 128863.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3168226369 + 13437446400 = 56287^2 + 115920^2 .

It is not a de Polignac number, because 16605672769 - 2¹⁷ = 16605541697 is a prime.

It is a super-2 number, since 2×16605672769² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16605672719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36983457 + ... + 36983905.

Almost surely, 2^16605672769 is an apocalyptic number.

16605672769 is the 128863-rd square number.

16605672769 is the 64432-nd centered octagonal number.

It is an amenable number.

16605672769 is a deficient number, since it is larger than the sum of its proper divisors (3237957992).

16605672769 is an frugal number, since it uses more digits than its factorization.

16605672769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 16605672769 in words is "sixteen billion, six hundred five million, six hundred seventy-two thousand, seven hundred sixty-nine".