12814872640 has 56 divisors (see below), whose sum is σ = 31567694040. Its totient is φ = 4949188608.

The previous prime is 12814872613. The next prime is 12814872661. The reversal of 12814872640 is 4627841821.

12814872640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 12801564736 = 3648^2 + 113144^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 681177 + ... + 699736.

Almost surely, 2^12814872640 is an apocalyptic number.

12814872640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12814872640 is an abundant number, since it is smaller than the sum of its proper divisors (18752821400).

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

12814872640 is a wasteful number, since it uses less digits than its factorization.

12814872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380959 (or 1380949 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 12814872640 in words is "twelve billion, eight hundred fourteen million, eight hundred seventy-two thousand, six hundred forty".