12867801408 has 672 divisors, whose sum is σ = 48689971200. Its totient is φ = 3217536000.

The previous prime is 12867801389. The next prime is 12867801491. The reversal of 12867801408 is 80410876821.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67370593 + ... + 67370783.

Almost surely, 2^12867801408 is an apocalyptic number.

12867801408 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 12867801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24344985600).

12867801408 is an abundant number, since it is smaller than the sum of its proper divisors (35822169792).

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

12867801408 is a wasteful number, since it uses less digits than its factorization.

12867801408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12867801408 in words is "twelve billion, eight hundred sixty-seven million, eight hundred one thousand, four hundred eight".