16839967944409 has 9 divisors (see below), whose sum is σ = 17120813146749. Its totient is φ = 16563656676960.

The previous prime is 16839967944391. The next prime is 16839967944413. The reversal of 16839967944409 is 90444976993861.

The square root of 16839967944409 is 4103653.

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 12423968305225 + 4415999639184 = 3524765^2 + 2101428^2 .

It is not a de Polignac number, because 16839967944409 - 2³⁵ = 16805608206041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16839967942409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 250289197 + ... + 250356469.

It is an arithmetic number, because the mean of its divisors is an integer number (1902312571861).

Almost surely, 2^{16839967944409} is an apocalyptic number.

16839967944409 is the 4103653-rd square number.

16839967944409 is the 2051827-th centered octagonal number.

It is an amenable number.

16839967944409 is a deficient number, since it is larger than the sum of its proper divisors (280845202340).

16839967944409 is an frugal number, since it uses more digits than its factorization.

16839967944409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134668 (or 67334 counting only the distinct ones).

The product of its (nonzero) digits is 2539579392, while the sum is 79.

The spelling of 16839967944409 in words is "sixteen trillion, eight hundred thirty-nine billion, nine hundred sixty-seven million, nine hundred forty-four thousand, four hundred nine".