13608705886167 has 96 divisors (see below), whose sum is σ = 22747759017984. Its totient is φ = 7080225062400.

The previous prime is 13608705886147. The next prime is 13608705886189. The reversal of 13608705886167 is 76168850780631.

It is not a de Polignac number, because 13608705886167 - 2¹⁰ = 13608705885143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13608705886098 and 13608705886107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13608705886147) 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 95 ways as a sum of consecutive naturals, for example, 566474518 + ... + 566498540.

It is an arithmetic number, because the mean of its divisors is an integer number (236955823104).

Almost surely, 2^{13608705886167} is an apocalyptic number.

13608705886167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13608705886167 is a deficient number, since it is larger than the sum of its proper divisors (9139053131817).

13608705886167 is a wasteful number, since it uses less digits than its factorization.

13608705886167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27109 (or 27092 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 13608705886167 in words is "thirteen trillion, six hundred eight billion, seven hundred five million, eight hundred eighty-six thousand, one hundred sixty-seven".