13638078743720 has 32 divisors (see below), whose sum is σ = 31434108327720. Its totient is φ = 5322177070080.

The previous prime is 13638078743693. The next prime is 13638078743743. The reversal of 13638078743720 is 2734787083631.

13638078743720 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 4404466137124 + 9233612606596 = 2098682^2 + 3038686^2 .

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13638078743720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4157949197 + ... + 4157952476.

Almost surely, 2^{13638078743720} is an apocalyptic number.

13638078743720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13638078743720 is an abundant number, since it is smaller than the sum of its proper divisors (17796029584000).

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

13638078743720 is a wasteful number, since it uses less digits than its factorization.

13638078743720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315901725 (or 8315901721 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 59.

The spelling of 13638078743720 in words is "thirteen trillion, six hundred thirty-eight billion, seventy-eight million, seven hundred forty-three thousand, seven hundred twenty".