13680166108631 has 8 divisors (see below), whose sum is σ = 14933773440000. Its totient is φ = 12428218088440.

The previous prime is 13680166108603. The next prime is 13680166108657.

13680166108631 is nontrivially palindromic in base 10.

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

It is a de Polignac number, because none of the positive numbers 2^k-13680166108631 is a prime.

It is a super-2 number, since 2×13680166108631² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13680166108631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680166108831) 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, 414810551 + ... + 414843528.

It is an arithmetic number, because the mean of its divisors is an integer number (1866721680000).

Almost surely, 2^{13680166108631} is an apocalyptic number.

13680166108631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13680166108631 is a deficient number, since it is larger than the sum of its proper divisors (1253607331369).

13680166108631 is a wasteful number, since it uses less digits than its factorization.

13680166108631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829655589.

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 13680166108631 in words is "thirteen trillion, six hundred eighty billion, one hundred sixty-six million, one hundred eight thousand, six hundred thirty-one".