12479090688 has 260 divisors, whose sum is σ = 38593862340. Its totient is φ = 4013162496.

The previous prime is 12479090681. The next prime is 12479090707. The reversal of 12479090688 is 88609097421.

12479090688 is a `hidden beast` number, since 1 + 2 + 479 + 0 + 90 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10511990784 + 1967099904 = 102528^2 + 44352^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12479090681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9620856 + ... + 9622152.

Almost surely, 2^12479090688 is an apocalyptic number.

12479090688 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 12479090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19296931170).

12479090688 is an abundant number, since it is smaller than the sum of its proper divisors (26114771652).

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

12479090688 is an equidigital number, since it uses as much as digits as its factorization.

12479090688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12479090688 in words is "twelve billion, four hundred seventy-nine million, ninety thousand, six hundred eighty-eight".