12686865984 has 168 divisors, whose sum is σ = 39603989880. Its totient is φ = 3859587072.

The previous prime is 12686865959. The next prime is 12686866019. The reversal of 12686865984 is 48956868621.

It can be written as a sum of positive squares in 4 ways, for example, as 1296000000 + 11390865984 = 36000^2 + 106728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656914 + ... + 675950.

It is an arithmetic number, because the mean of its divisors is an integer number (235738035).

Almost surely, 2^12686865984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12686865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19801994940).

12686865984 is an abundant number, since it is smaller than the sum of its proper divisors (26917123896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12686865984 is a wasteful number, since it uses less digits than its factorization.

12686865984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19157 (or 19144 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 12686865984 in words is "twelve billion, six hundred eighty-six million, eight hundred sixty-five thousand, nine hundred eighty-four".