8680724938249 has 27 divisors (see below), whose sum is σ = 10934843450517. Its totient is φ = 6868053751104.

The previous prime is 8680724938247. The next prime is 8680724938283. The reversal of 8680724938249 is 9428394270868.

The square root of 8680724938249 is 2946307.

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 483154278649 + 8197570659600 = 695093^2 + 2863140^2 .

It is not a de Polignac number, because 8680724938249 - 2¹ = 8680724938247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8680724938247) 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, 268097749 + ... + 268130125.

It is an arithmetic number, because the mean of its divisors is an integer number (404994201871).

Almost surely, 2^{8680724938249} is an apocalyptic number.

8680724938249 is the 2946307-th square number.

8680724938249 is the 1473154-th centered octagonal number.

It is an amenable number.

8680724938249 is a deficient number, since it is larger than the sum of its proper divisors (2254118512268).

8680724938249 is an frugal number, since it uses more digits than its factorization.

8680724938249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64794 (or 32397 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 70.

The spelling of 8680724938249 in words is "eight trillion, six hundred eighty billion, seven hundred twenty-four million, nine hundred thirty-eight thousand, two hundred forty-nine".