16966696474225 has 81 divisors (see below), whose sum is σ = 21949920069537. Its totient is φ = 13009654896000.

The previous prime is 16966696474199. The next prime is 16966696474237. The reversal of 16966696474225 is 52247469666961.

The square root of 16966696474225 is 4119065.

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 7141556072161 + 9825140402064 = 2672369^2 + 3134508^2 .

It is a de Polignac number, because none of the positive numbers 2^k-16966696474225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59952990934 + ... + 59952991216.

Almost surely, 2^{16966696474225} is an apocalyptic number.

16966696474225 is the 4119065-th square number.

16966696474225 is the 2059533-rd centered octagonal number.

It is an amenable number.

16966696474225 is a deficient number, since it is larger than the sum of its proper divisors (4983223595312).

16966696474225 is an frugal number, since it uses more digits than its factorization.

16966696474225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 400 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 73.

The spelling of 16966696474225 in words is "sixteen trillion, nine hundred sixty-six billion, six hundred ninety-six million, four hundred seventy-four thousand, two hundred twenty-five".