13667725105 has 24 divisors (see below), whose sum is σ = 16646793912. Its totient is φ = 10772822016.

The previous prime is 13667725051. The next prime is 13667725147. The reversal of 13667725105 is 50152776631.

It can be written as a sum of positive squares in 12 ways, for example, as 9984206241 + 3683518864 = 99921^2 + 60692^2 .

It is not a de Polignac number, because 13667725105 - 2⁹ = 13667724593 is a prime.

It is a super-2 number, since 2×13667725105² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17148567 + ... + 17149363.

It is an arithmetic number, because the mean of its divisors is an integer number (693616413).

Almost surely, 2^13667725105 is an apocalyptic number.

It is an amenable number.

13667725105 is a deficient number, since it is larger than the sum of its proper divisors (2979068807).

13667725105 is an frugal number, since it uses more digits than its factorization.

13667725105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 13667725105 in words is "thirteen billion, six hundred sixty-seven million, seven hundred twenty-five thousand, one hundred five".