13676668236 has 720 divisors, whose sum is σ = 49169908480. Its totient is φ = 3233260800.

The previous prime is 13676668231. The next prime is 13676668237. The reversal of 13676668236 is 63286667631.

13676668236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13676668236² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7838208) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (13676668231) 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 239 ways as a sum of consecutive naturals, for example, 224207646 + ... + 224207706.

Almost surely, 2^13676668236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13676668236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24584954240).

13676668236 is an abundant number, since it is smaller than the sum of its proper divisors (35493240244).

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

13676668236 is a wasteful number, since it uses less digits than its factorization.

13676668236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 13676668236 in words is "thirteen billion, six hundred seventy-six million, six hundred sixty-eight thousand, two hundred thirty-six".