13782940766138 has 64 divisors (see below), whose sum is σ = 21998832768000. Its totient is φ = 6465653456640.

The previous prime is 13782940766137. The next prime is 13782940766239. The reversal of 13782940766138 is 83166704928731.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (13782940766137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101131456 + ... + 1101143972.

It is an arithmetic number, because the mean of its divisors is an integer number (343731762000).

Almost surely, 2^{13782940766138} is an apocalyptic number.

13782940766138 is a deficient number, since it is larger than the sum of its proper divisors (8215892001862).

13782940766138 is a wasteful number, since it uses less digits than its factorization.

13782940766138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15455.

The product of its (nonzero) digits is 73156608, while the sum is 65.

The spelling of 13782940766138 in words is "thirteen trillion, seven hundred eighty-two billion, nine hundred forty million, seven hundred sixty-six thousand, one hundred thirty-eight".