13085616167 has 8 divisors (see below), whose sum is σ = 14093971920. Its totient is φ = 12077513280.

The previous prime is 13085616143. The next prime is 13085616209. The reversal of 13085616167 is 76161658031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13085616167 - 2¹⁶ = 13085550631 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13085616107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52067 + ... + 169947.

It is an arithmetic number, because the mean of its divisors is an integer number (1761746490).

Almost surely, 2^13085616167 is an apocalyptic number.

13085616167 is a deficient number, since it is larger than the sum of its proper divisors (1008355753).

13085616167 is a wasteful number, since it uses less digits than its factorization.

13085616167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126433.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 13085616167 in words is "thirteen billion, eighty-five million, six hundred sixteen thousand, one hundred sixty-seven".