13681438234144 has 24 divisors (see below), whose sum is σ = 26935414410240. Its totient is φ = 6840698066496.

The previous prime is 13681438234141. The next prime is 13681438234159. The reversal of 13681438234144 is 44143283418631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13681438234091 and 13681438234100.

It is not an unprimeable number, because it can be changed into a prime (13681438234141) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18378817 + ... + 19108735.

It is an arithmetic number, because the mean of its divisors is an integer number (1122308933760).

Almost surely, 2^{13681438234144} is an apocalyptic number.

It is an amenable number.

13681438234144 is a deficient number, since it is larger than the sum of its proper divisors (13253976176096).

13681438234144 is an equidigital number, since it uses as much as digits as its factorization.

13681438234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315672 (or 1315664 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 52.

The spelling of 13681438234144 in words is "thirteen trillion, six hundred eighty-one billion, four hundred thirty-eight million, two hundred thirty-four thousand, one hundred forty-four".