13735772217673 has 16 divisors (see below), whose sum is σ = 15319311489216. Its totient is φ = 12209646629440.

The previous prime is 13735772217667. The next prime is 13735772217709. The reversal of 13735772217673 is 37671227753731.

It is a cyclic number.

It is not a de Polignac number, because 13735772217673 - 2⁹ = 13735772217161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13735772217613) 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 15 ways as a sum of consecutive naturals, for example, 40034815 + ... + 40376452.

It is an arithmetic number, because the mean of its divisors is an integer number (957456968076).

Almost surely, 2^{13735772217673} is an apocalyptic number.

It is an amenable number.

13735772217673 is a deficient number, since it is larger than the sum of its proper divisors (1583539271543).

13735772217673 is a wasteful number, since it uses less digits than its factorization.

13735772217673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80411624.

The product of its digits is 54454680, while the sum is 61.

The spelling of 13735772217673 in words is "thirteen trillion, seven hundred thirty-five billion, seven hundred seventy-two million, two hundred seventeen thousand, six hundred seventy-three".