12648437168696 has 256 divisors, whose sum is σ = 29235377848320. Its totient is φ = 5015582208000.

The previous prime is 12648437168623. The next prime is 12648437168707. The reversal of 12648437168696 is 69686173484621.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1427423306 + ... + 1427432166.

It is an arithmetic number, because the mean of its divisors is an integer number (114200694720).

Almost surely, 2^{12648437168696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12648437168696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14617688924160).

12648437168696 is an abundant number, since it is smaller than the sum of its proper divisors (16586940679624).

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

12648437168696 is a wasteful number, since it uses less digits than its factorization.

12648437168696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326 (or 9322 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 71.

The spelling of 12648437168696 in words is "twelve trillion, six hundred forty-eight billion, four hundred thirty-seven million, one hundred sixty-eight thousand, six hundred ninety-six".