13735074801 has 48 divisors (see below), whose sum is σ = 22066387200. Its totient is φ = 7568209152.

The previous prime is 13735074767. The next prime is 13735074803. The reversal of 13735074801 is 10847053731.

It is a de Polignac number, because none of the positive numbers 2^k-13735074801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13735074801.

It is not an unprimeable number, because it can be changed into a prime (13735074803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402120 + ... + 4405238.

It is an arithmetic number, because the mean of its divisors is an integer number (459716400).

Almost surely, 2^13735074801 is an apocalyptic number.

It is an amenable number.

13735074801 is a deficient number, since it is larger than the sum of its proper divisors (8331312399).

13735074801 is a wasteful number, since it uses less digits than its factorization.

13735074801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 13735074801 in words is "thirteen billion, seven hundred thirty-five million, seventy-four thousand, eight hundred one".