13315407966 has 128 divisors (see below), whose sum is σ = 34430054400. Its totient is φ = 3735992160.

The previous prime is 13315407923. The next prime is 13315408019. The reversal of 13315407966 is 66970451331.

It is a happy number.

13315407966 is a `hidden beast` number, since 1 + 3 + 31 + 540 + 79 + 6 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5614761 + ... + 5617131.

It is an arithmetic number, because the mean of its divisors is an integer number (268984800).

Almost surely, 2^13315407966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13315407966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17215027200).

13315407966 is an abundant number, since it is smaller than the sum of its proper divisors (21114646434).

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

13315407966 is a wasteful number, since it uses less digits than its factorization.

13315407966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13315407966 in words is "thirteen billion, three hundred fifteen million, four hundred seven thousand, nine hundred sixty-six".