16600205692225 has 81 divisors (see below), whose sum is σ = 21869301322659. Its totient is φ = 12498755992800.

The previous prime is 16600205692223. The next prime is 16600205692237. The reversal of 16600205692225 is 52229650200661.

The square root of 16600205692225 is 4074335.

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

It can be written as a sum of positive squares in only one way, i.e., 5976074049201 + 10624131643024 = 2444601^2 + 3259468^2 .

It is not a de Polignac number, because 16600205692225 - 2¹ = 16600205692223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16600205692223) 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 80 ways as a sum of consecutive naturals, for example, 33266945026 + ... + 33266945524.

Almost surely, 2^{16600205692225} is an apocalyptic number.

16600205692225 is the 4074335-th square number.

16600205692225 is the 2037168-th centered octagonal number.

It is an amenable number.

16600205692225 is a deficient number, since it is larger than the sum of its proper divisors (5269095630434).

16600205692225 is an frugal number, since it uses more digits than its factorization.

16600205692225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

Adding to 16600205692225 its reverse (52229650200661), we get a palindrome (68829855892886).

The spelling of 16600205692225 in words is "sixteen trillion, six hundred billion, two hundred five million, six hundred ninety-two thousand, two hundred twenty-five".