12815824849 has 9 divisors (see below), whose sum is σ = 12989168283. Its totient is φ = 12644769072.

The previous prime is 12815824823. The next prime is 12815824883. The reversal of 12815824849 is 94842851821.

The square root of 12815824849 is 113207.

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., 10628579025 + 2187245824 = 103095^2 + 46768^2 .

It is not a de Polignac number, because 12815824849 - 2⁵ = 12815824817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12815824796 and 12815824805.

It is not an unprimeable number, because it can be changed into a prime (12815821849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8942637 + ... + 8944069.

Almost surely, 2^12815824849 is an apocalyptic number.

12815824849 is the 113207-th square number.

12815824849 is the 56604-th centered octagonal number.

It is an amenable number.

12815824849 is a deficient number, since it is larger than the sum of its proper divisors (173343434).

12815824849 is an frugal number, since it uses more digits than its factorization.

12815824849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 1512 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 52.

The spelling of 12815824849 in words is "twelve billion, eight hundred fifteen million, eight hundred twenty-four thousand, eight hundred forty-nine".