13686170667 has 16 divisors (see below), whose sum is σ = 19665827328. Its totient is φ = 8416306080.

The previous prime is 13686170653. The next prime is 13686170669. The reversal of 13686170667 is 76607168631.

13686170667 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 13686170667 - 2⁸ = 13686170411 is a prime.

It is a super-2 number, since 2×13686170667² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13686170669) 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 15 ways as a sum of consecutive naturals, for example, 67809 + ... + 178802.

It is an arithmetic number, because the mean of its divisors is an integer number (1229114208).

Almost surely, 2^13686170667 is an apocalyptic number.

13686170667 is a deficient number, since it is larger than the sum of its proper divisors (5979656661).

13686170667 is a wasteful number, since it uses less digits than its factorization.

13686170667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248050.

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 13686170667 in words is "thirteen billion, six hundred eighty-six million, one hundred seventy thousand, six hundred sixty-seven".