12657144736 has 48 divisors (see below), whose sum is σ = 25705542240. Its totient is φ = 6131854080.

The previous prime is 12657144713. The next prime is 12657144749. The reversal of 12657144736 is 63744175621.

12657144736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82395 + ... + 179173.

It is an arithmetic number, because the mean of its divisors is an integer number (535532130).

Almost surely, 2^12657144736 is an apocalyptic number.

12657144736 is a gapful number since it is divisible by the number (16) 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 12657144736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852771120).

12657144736 is an abundant number, since it is smaller than the sum of its proper divisors (13048397504).

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

12657144736 is an equidigital number, since it uses as much as digits as its factorization.

12657144736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96917 (or 96909 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The spelling of 12657144736 in words is "twelve billion, six hundred fifty-seven million, one hundred forty-four thousand, seven hundred thirty-six".