13966041168 has 80 divisors (see below), whose sum is σ = 40201712640. Its totient is φ = 4642108416.

The previous prime is 13966041157. The next prime is 13966041169. The reversal of 13966041168 is 86114066931.

13966041168 is a `hidden beast` number, since 1 + 39 + 6 + 604 + 1 + 1 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13966041169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106705 + ... + 198287.

It is an arithmetic number, because the mean of its divisors is an integer number (502521408).

Almost surely, 2^13966041168 is an apocalyptic number.

13966041168 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 13966041168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20100856320).

13966041168 is an abundant number, since it is smaller than the sum of its proper divisors (26235671472).

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

13966041168 is a wasteful number, since it uses less digits than its factorization.

13966041168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91953 (or 91941 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13966041168 in words is "thirteen billion, nine hundred sixty-six million, forty-one thousand, one hundred sixty-eight".