13744834461 has 64 divisors (see below), whose sum is σ = 21558067200. Its totient is φ = 8642386368.

The previous prime is 13744834429. The next prime is 13744834471. The reversal of 13744834461 is 16443844731.

13744834461 is a `hidden beast` number, since 1 + 3 + 74 + 483 + 44 + 61 = 666.

13744834461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13744834461 - 2⁵ = 13744834429 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13744834471) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6661516 + ... + 6663578.

It is an arithmetic number, because the mean of its divisors is an integer number (336844800).

Almost surely, 2^13744834461 is an apocalyptic number.

It is an amenable number.

13744834461 is a deficient number, since it is larger than the sum of its proper divisors (7813232739).

13744834461 is a wasteful number, since it uses less digits than its factorization.

13744834461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2289 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 13744834461 in words is "thirteen billion, seven hundred forty-four million, eight hundred thirty-four thousand, four hundred sixty-one".