12978845687808 has 2688 divisors, whose sum is σ = 53298591091200. Its totient is φ = 2996494663680.

The previous prime is 12978845687761. The next prime is 12978845687809. The reversal of 12978845687808 is 80878654887921.

12978845687808 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 8 + 8 + 456 + 87 + 80 + 8 = 666.

12978845687808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12978845687809) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133802532816 + ... + 133802532912.

It is an arithmetic number, because the mean of its divisors is an integer number (19828344900).

Almost surely, 2^{12978845687808} is an apocalyptic number.

12978845687808 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 12978845687808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26649295545600).

12978845687808 is an abundant number, since it is smaller than the sum of its proper divisors (40319745403392).

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

12978845687808 is a wasteful number, since it uses less digits than its factorization.

12978845687808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3468165120, while the sum is 81.

The spelling of 12978845687808 in words is "twelve trillion, nine hundred seventy-eight billion, eight hundred forty-five million, six hundred eighty-seven thousand, eight hundred eight".