16779834369 has 45 divisors (see below), whose sum is σ = 25828342617. Its totient is φ = 10856236896.

The previous prime is 16779834361. The next prime is 16779834403. The reversal of 16779834369 is 96343897761.

The square root of 16779834369 is 129537.

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

16779834369 is a `hidden beast` number, since 167 + 79 + 8 + 343 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 520524225 + 16259310144 = 22815^2 + 127512^2 .

It is not a de Polignac number, because 16779834369 - 2³ = 16779834361 is a prime.

It is a super-2 number, since 2×16779834369² (a number of 21 digits) contains 22 as substring.

Its product of digits (41150592) is a multiple of the sum of its prime factors (864).

It is not an unprimeable number, because it can be changed into a prime (16779834361) 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, 43135627 + ... + 43136015.

Almost surely, 2^16779834369 is an apocalyptic number.

16779834369 is the 129537-th square number.

16779834369 is the 64769-th centered octagonal number.

It is an amenable number.

16779834369 is a deficient number, since it is larger than the sum of its proper divisors (9048508248).

16779834369 is an frugal number, since it uses more digits than its factorization.

16779834369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 429 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 16779834369 in words is "sixteen billion, seven hundred seventy-nine million, eight hundred thirty-four thousand, three hundred sixty-nine".