13680141728 has 24 divisors (see below), whose sum is σ = 29381214240. Its totient is φ = 6218246080.

The previous prime is 13680141691. The next prime is 13680141751. The reversal of 13680141728 is 82714108631.

13680141728 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 3 ways as a sum of consecutive naturals, for example, 19431668 + ... + 19432371.

It is an arithmetic number, because the mean of its divisors is an integer number (1224217260).

Almost surely, 2^13680141728 is an apocalyptic number.

It is an amenable number.

13680141728 is an abundant number, since it is smaller than the sum of its proper divisors (15701072512).

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

13680141728 is a wasteful number, since it uses less digits than its factorization.

13680141728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38864060 (or 38864052 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 13680141728 in words is "thirteen billion, six hundred eighty million, one hundred forty-one thousand, seven hundred twenty-eight".