13735828165 has 16 divisors (see below), whose sum is σ = 16709486976. Its totient is φ = 10838520000.

The previous prime is 13735828097. The next prime is 13735828177. The reversal of 13735828165 is 56182853731.

It is not a de Polignac number, because 13735828165 - 2¹⁹ = 13735303877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76135 + ... + 182395.

It is an arithmetic number, because the mean of its divisors is an integer number (1044342936).

Almost surely, 2^13735828165 is an apocalyptic number.

It is an amenable number.

13735828165 is a deficient number, since it is larger than the sum of its proper divisors (2973658811).

13735828165 is a wasteful number, since it uses less digits than its factorization.

13735828165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106620.

The product of its digits is 1209600, while the sum is 49.

The spelling of 13735828165 in words is "thirteen billion, seven hundred thirty-five million, eight hundred twenty-eight thousand, one hundred sixty-five".