13666071324416 has 216 divisors, whose sum is σ = 31989211025184. Its totient is φ = 5809672028160.

The previous prime is 13666071324407. The next prime is 13666071324419. The reversal of 13666071324416 is 61442317066631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13666071324419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854602181 + ... + 854618171.

Almost surely, 2^{13666071324416} is an apocalyptic number.

13666071324416 is a gapful number since it is divisible by the number (16) 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 13666071324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15994605512592).

13666071324416 is an abundant number, since it is smaller than the sum of its proper divisors (18323139700768).

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

13666071324416 is a wasteful number, since it uses less digits than its factorization.

13666071324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16567 (or 16546 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 13666071324416 in words is "thirteen trillion, six hundred sixty-six billion, seventy-one million, three hundred twenty-four thousand, four hundred sixteen".