12409291609 has 81 divisors (see below), whose sum is σ = 15977652957. Its totient is φ = 9624700800.

The previous prime is 12409291579. The next prime is 12409291649. The reversal of 12409291609 is 90619290421.

The square root of 12409291609 is 111397.

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 8265537225 + 4143754384 = 90915^2 + 64372^2 .

It is not a de Polignac number, because 12409291609 - 2²⁵ = 12375737177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12409291649) 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, 302665629 + ... + 302665669.

Almost surely, 2^12409291609 is an apocalyptic number.

12409291609 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12409291609 is the 111397-th square number.

12409291609 is the 55699-th centered octagonal number.

It is an amenable number.

12409291609 is a deficient number, since it is larger than the sum of its proper divisors (3568361348).

12409291609 is a wasteful number, since it uses less digits than its factorization.

12409291609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 12409291609 in words is "twelve billion, four hundred nine million, two hundred ninety-one thousand, six hundred nine".