16973271138769 has 27 divisors (see below), whose sum is σ = 18727222475857. Its totient is φ = 15372032825600.

The previous prime is 16973271138737. The next prime is 16973271138773. The reversal of 16973271138769 is 96783117237961.

The square root of 16973271138769 is 4119863.

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 76140124225 + 16897131014544 = 275935^2 + 4110612^2 .

It is not a de Polignac number, because 16973271138769 - 2⁵ = 16973271138737 is a prime.

It is a super-2 number, since 2×16973271138769² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16973271138698 and 16973271138707.

It is not an unprimeable number, because it can be changed into a prime (16973271138779) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15997427499 + ... + 15997428559.

Almost surely, 2^{16973271138769} is an apocalyptic number.

16973271138769 is the 4119863-rd square number.

16973271138769 is the 2059932-nd centered octagonal number.

It is an amenable number.

16973271138769 is a deficient number, since it is larger than the sum of its proper divisors (1753951337088).

16973271138769 is an frugal number, since it uses more digits than its factorization.

16973271138769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 1425 counting only the distinct ones).

The product of its digits is 144027072, while the sum is 70.

The spelling of 16973271138769 in words is "sixteen trillion, nine hundred seventy-three billion, two hundred seventy-one million, one hundred thirty-eight thousand, seven hundred sixty-nine".