12686349312 has 396 divisors, whose sum is σ = 45911319636. Its totient is φ = 3344302080.

The previous prime is 12686349289. The next prime is 12686349329. The reversal of 12686349312 is 21394368621.

12686349312 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 634 + 9 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4698279936 + 7988069376 = 68544^2 + 89376^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5869512 + ... + 5871672.

Almost surely, 2^12686349312 is an apocalyptic number.

12686349312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12686349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22955659818).

12686349312 is an abundant number, since it is smaller than the sum of its proper divisors (33224970324).

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

12686349312 is a wasteful number, since it uses less digits than its factorization.

12686349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2186 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 12686349312 in words is "twelve billion, six hundred eighty-six million, three hundred forty-nine thousand, three hundred twelve".