13309850664 has 768 divisors, whose sum is σ = 47551795200. Its totient is φ = 3433881600.

The previous prime is 13309850639. The next prime is 13309850677. The reversal of 13309850664 is 46605890331.

13309850664 is a `hidden beast` number, since 133 + 0 + 9 + 8 + 506 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 283188289 + ... + 283188335.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 2^13309850664 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 13309850664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775897600).

13309850664 is an abundant number, since it is smaller than the sum of its proper divisors (34241944536).

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

13309850664 is a wasteful number, since it uses less digits than its factorization.

13309850664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13309850664 in words is "thirteen billion, three hundred nine million, eight hundred fifty thousand, six hundred sixty-four".