12993935578848 has 108 divisors (see below), whose sum is σ = 42984403010640. Its totient is φ = 3712553018496.

The previous prime is 12993935578787. The next prime is 12993935578901. The reversal of 12993935578848 is 84887553939921.

12993935578848 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 3 + 9 + 35 + 578 + 8 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460371928 + ... + 460400151.

It is an arithmetic number, because the mean of its divisors is an integer number (398003731580).

Almost surely, 2^{12993935578848} is an apocalyptic number.

12993935578848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12993935578848 is an abundant number, since it is smaller than the sum of its proper divisors (29990467431792).

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

12993935578848 is a wasteful number, since it uses less digits than its factorization.

12993935578848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920772109 (or 920772091 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 81.

The spelling of 12993935578848 in words is "twelve trillion, nine hundred ninety-three billion, nine hundred thirty-five million, five hundred seventy-eight thousand, eight hundred forty-eight".