13418201365968 has 960 divisors, whose sum is σ = 44149607244288. Its totient is φ = 3436456181760.

The previous prime is 13418201365949. The next prime is 13418201365973. The reversal of 13418201365968 is 86956310281431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39816621096 + ... + 39816621432.

Almost surely, 2^{13418201365968} 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 13418201365968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22074803622144).

13418201365968 is an abundant number, since it is smaller than the sum of its proper divisors (30731405878320).

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

13418201365968 is a wasteful number, since it uses less digits than its factorization.

13418201365968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 13418201365968 in words is "thirteen trillion, four hundred eighteen billion, two hundred one million, three hundred sixty-five thousand, nine hundred sixty-eight".