8011407576249 has 81 divisors (see below), whose sum is σ = 14797561763439. Its totient is φ = 4161430516320.

The previous prime is 8011407576241. The next prime is 8011407576307. The reversal of 8011407576249 is 9426757041108.

The square root of 8011407576249 is 2830443.

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

8011407576249 is a `hidden beast` number, since 8 + 0 + 1 + 1 + 4 + 0 + 7 + 5 + 7 + 624 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3905386202025 + 4106021374224 = 1976205^2 + 2026332^2 .

It is not a de Polignac number, because 8011407576249 - 2³ = 8011407576241 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8011407576195 and 8011407576204.

It is not an unprimeable number, because it can be changed into a prime (8011407576241) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 653826207 + ... + 653838459.

Almost surely, 2^{8011407576249} is an apocalyptic number.

8011407576249 is the 2830443-rd square number.

8011407576249 is the 1415222-nd centered octagonal number.

It is an amenable number.

8011407576249 is a deficient number, since it is larger than the sum of its proper divisors (6786154187190).

8011407576249 is an equidigital number, since it uses as much as digits as its factorization.

8011407576249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24548 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 8011407576249 in words is "eight trillion, eleven billion, four hundred seven million, five hundred seventy-six thousand, two hundred forty-nine".