12724516809 has 27 divisors (see below), whose sum is σ = 19407939213. Its totient is φ = 8032476024.

The previous prime is 12724516801. The next prime is 12724516859. The reversal of 12724516809 is 90861542721.

The square root of 12724516809 is 112803.

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

12724516809 is a `hidden beast` number, since 127 + 2 + 4 + 516 + 8 + 0 + 9 = 666.

It is not a de Polignac number, because 12724516809 - 2³ = 12724516801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12724516801) 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, 6428782 + ... + 6430760.

Almost surely, 2^12724516809 is an apocalyptic number.

12724516809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12724516809 is the 112803-rd square number.

12724516809 is the 56402-nd centered octagonal number.

It is an amenable number.

12724516809 is a deficient number, since it is larger than the sum of its proper divisors (6683422404).

12724516809 is an frugal number, since it uses more digits than its factorization.

12724516809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12724516809 in words is "twelve billion, seven hundred twenty-four million, five hundred sixteen thousand, eight hundred nine".