13676353635168 has 576 divisors, whose sum is σ = 47344359928320. Its totient is φ = 3655740211200.

The previous prime is 13676353635167. The next prime is 13676353635187. The reversal of 13676353635168 is 86153635367631.

13676353635168 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 6 + 3 + 53 + 63 + 516 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13676353635167) 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 95 ways as a sum of consecutive naturals, for example, 4299386538 + ... + 4299389718.

It is an arithmetic number, because the mean of its divisors is an integer number (82195069320).

Almost surely, 2^{13676353635168} is an apocalyptic number.

13676353635168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13676353635168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23672179964160).

13676353635168 is an abundant number, since it is smaller than the sum of its proper divisors (33668006293152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13676353635168 is a wasteful number, since it uses less digits than its factorization.

13676353635168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3920 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 13676353635168 in words is "thirteen trillion, six hundred seventy-six billion, three hundred fifty-three million, six hundred thirty-five thousand, one hundred sixty-eight".