12691292544 has 320 divisors, whose sum is σ = 45047312640. Its totient is φ = 3467971584.

The previous prime is 12691292519. The next prime is 12691292569. The reversal of 12691292544 is 44529219621.

12691292544 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 12 + 92 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (12691292519) and next prime (12691292569).

It is a super-2 number, since 2×12691292544² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12691292544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1665447 + ... + 1673049.

It is an arithmetic number, because the mean of its divisors is an integer number (140772852).

Almost surely, 2^12691292544 is an apocalyptic number.

12691292544 is a gapful number since it is divisible by the number (14) 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 12691292544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22523656320).

12691292544 is an abundant number, since it is smaller than the sum of its proper divisors (32356020096).

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

12691292544 is an equidigital number, since it uses as much as digits as its factorization.

12691292544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659 (or 7638 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 12691292544 in words is "twelve billion, six hundred ninety-one million, two hundred ninety-two thousand, five hundred forty-four".