12586348368 has 360 divisors, whose sum is σ = 40242986784. Its totient is φ = 3667023360.

The previous prime is 12586348303. The next prime is 12586348399. The reversal of 12586348368 is 86384368521.

12586348368 is a `hidden beast` number, since 1 + 25 + 86 + 3 + 483 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80167746 + ... + 80167902.

Almost surely, 2^12586348368 is an apocalyptic number.

12586348368 is a gapful number since it is divisible by the number (18) 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 12586348368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20121493392).

12586348368 is an abundant number, since it is smaller than the sum of its proper divisors (27656638416).

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

12586348368 is a wasteful number, since it uses less digits than its factorization.

12586348368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 12586348368 in words is "twelve billion, five hundred eighty-six million, three hundred forty-eight thousand, three hundred sixty-eight".