12688670736 has 315 divisors, whose sum is σ = 43167179181. Its totient is φ = 3601003392.

The previous prime is 12688670719. The next prime is 12688670737. The reversal of 12688670736 is 63707688621.

The square root of 12688670736 is 112644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1486565136 + 11202105600 = 38556^2 + 105840^2 .

It is a super-2 number, since 2×12688670736² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12688670737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 85158790 + ... + 85158938.

Almost surely, 2^12688670736 is an apocalyptic number.

12688670736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12688670736 is the 112644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12688670736

12688670736 is an abundant number, since it is smaller than the sum of its proper divisors (30478508445).

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

12688670736 is an frugal number, since it uses more digits than its factorization.

12688670736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12688670736 in words is "twelve billion, six hundred eighty-eight million, six hundred seventy thousand, seven hundred thirty-six".