12811630968 has 96 divisors (see below), whose sum is σ = 35041843200. Its totient is φ = 4228386624.

The previous prime is 12811630963. The next prime is 12811630987. The reversal of 12811630968 is 86903611821.

12811630968 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 1 + 630 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12811630963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5878503 + ... + 5880681.

It is an arithmetic number, because the mean of its divisors is an integer number (365019200).

Almost surely, 2^12811630968 is an apocalyptic number.

12811630968 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 12811630968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520921600).

12811630968 is an abundant number, since it is smaller than the sum of its proper divisors (22230212232).

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

12811630968 is a wasteful number, since it uses less digits than its factorization.

12811630968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12811630968 in words is "twelve billion, eight hundred eleven million, six hundred thirty thousand, nine hundred sixty-eight".