12678084409 has 9 divisors (see below), whose sum is σ = 12807862893. Its totient is φ = 12549611232.

The previous prime is 12678084383. The next prime is 12678084413. The reversal of 12678084409 is 90448087621.

It is a happy number.

The square root of 12678084409 is 112597.

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 6535914025 + 6142170384 = 80845^2 + 78372^2 .

It is not a de Polignac number, because 12678084409 - 2⁷ = 12678084281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12678084709) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12272557 + ... + 12273589.

It is an arithmetic number, because the mean of its divisors is an integer number (1423095877).

Almost surely, 2^12678084409 is an apocalyptic number.

12678084409 is the 112597-th square number.

12678084409 is the 56299-th centered octagonal number.

It is an amenable number.

12678084409 is a deficient number, since it is larger than the sum of its proper divisors (129778484).

12678084409 is an frugal number, since it uses more digits than its factorization.

12678084409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 12678084409 by its sum of digits (49), we get a square (621226136041 = 788179²).

The spelling of 12678084409 in words is "twelve billion, six hundred seventy-eight million, eighty-four thousand, four hundred nine".