209830260699361 has 9 divisors (see below), whose sum is σ = 212521120236243. Its totient is φ = 207173051579520.

The previous prime is 209830260699349. The next prime is 209830260699403. The reversal of 209830260699361 is 163996062038902.

The square root of 209830260699361 is 14485519.

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., 17737313441761 + 192092947257600 = 4211569^2 + 13859760^2 .

It is not a de Polignac number, because 209830260699361 - 2⁷ = 209830260699233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 209830260699293 and 209830260699302.

It is not an unprimeable number, because it can be changed into a prime (209830260691361) 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, 1144264321 + ... + 1144447681.

It is an arithmetic number, because the mean of its divisors is an integer number (23613457804027).

Almost surely, 2^{209830260699361} is an apocalyptic number.

209830260699361 is the 14485519-th square number.

209830260699361 is the 7242760-th centered octagonal number.

It is an amenable number.

209830260699361 is a deficient number, since it is larger than the sum of its proper divisors (2690859536882).

209830260699361 is an frugal number, since it uses more digits than its factorization.

209830260699361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366880 (or 183440 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 64.

The spelling of 209830260699361 in words is "two hundred nine trillion, eight hundred thirty billion, two hundred sixty million, six hundred ninety-nine thousand, three hundred sixty-one".