13669600037016 has 256 divisors, whose sum is σ = 44852462346240. Its totient is φ = 3366118103040.

The previous prime is 13669600037011. The next prime is 13669600037069. The reversal of 13669600037016 is 61073000696631.

13669600037016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13669600037011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3379911 + ... + 6225993.

It is an arithmetic number, because the mean of its divisors is an integer number (175204931040).

Almost surely, 2^{13669600037016} 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 13669600037016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22426231173120).

13669600037016 is an abundant number, since it is smaller than the sum of its proper divisors (31182862309224).

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

13669600037016 is a wasteful number, since it uses less digits than its factorization.

13669600037016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846246 (or 2846242 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 13669600037016 in words is "thirteen trillion, six hundred sixty-nine billion, six hundred million, thirty-seven thousand, sixteen".