12608916873696 has 1440 divisors, whose sum is σ = 45750184603200. Its totient is φ = 3399953356800.

The previous prime is 12608916873677. The next prime is 12608916873769. The reversal of 12608916873696 is 69637861980621.

12608916873696 is a `hidden beast` number, since 1 + 2 + 608 + 9 + 1 + 6 + 8 + 7 + 3 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19982435301 + ... + 19982435931.

It is an arithmetic number, because the mean of its divisors is an integer number (31770961530).

Almost surely, 2^{12608916873696} is an apocalyptic number.

12608916873696 is a gapful number since it is divisible by the number (16) 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 12608916873696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22875092301600).

12608916873696 is an abundant number, since it is smaller than the sum of its proper divisors (33141267729504).

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

12608916873696 is a wasteful number, since it uses less digits than its factorization.

12608916873696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 12608916873696 in words is "twelve trillion, six hundred eight billion, nine hundred sixteen million, eight hundred seventy-three thousand, six hundred ninety-six".