12646488682752 has 144 divisors (see below), whose sum is σ = 34146799424640. Its totient is φ = 4154340556800.

The previous prime is 12646488682717. The next prime is 12646488682829. The reversal of 12646488682752 is 25728688464621.

It is a super-2 number, since 2×12646488682752² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130218852 + ... + 130315932.

It is an arithmetic number, because the mean of its divisors is an integer number (237130551560).

Almost surely, 2^{12646488682752} is an apocalyptic number.

12646488682752 is a gapful number since it is divisible by the number (12) 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 12646488682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17073399712320).

12646488682752 is an abundant number, since it is smaller than the sum of its proper divisors (21500310741888).

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

12646488682752 is an equidigital number, since it uses as much as digits as its factorization.

12646488682752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99560 (or 99546 counting only the distinct ones).

The product of its digits is 495452160, while the sum is 69.

The spelling of 12646488682752 in words is "twelve trillion, six hundred forty-six billion, four hundred eighty-eight million, six hundred eighty-two thousand, seven hundred fifty-two".