12634671683088 has 720 divisors, whose sum is σ = 44590410249840. Its totient is φ = 3310204133376.

The previous prime is 12634671683041. The next prime is 12634671683107. The reversal of 12634671683088 is 88038617643621.

12634671683088 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 467 + 1 + 68 + 30 + 88 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7682586975504 + 4952084707584 = 2771748^2 + 2225328^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 11311254306 + ... + 11311255422.

It is an arithmetic number, because the mean of its divisors is an integer number (61931125347).

Almost surely, 2^{12634671683088} is an apocalyptic number.

12634671683088 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 12634671683088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22295205124920).

12634671683088 is an abundant number, since it is smaller than the sum of its proper divisors (31955738566752).

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

12634671683088 is a wasteful number, since it uses less digits than its factorization.

12634671683088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 12634671683088 in words is "twelve trillion, six hundred thirty-four billion, six hundred seventy-one million, six hundred eighty-three thousand, eighty-eight".