13340445216 has 288 divisors, whose sum is σ = 42160523328. Its totient is φ = 3680409600.

The previous prime is 13340445191. The next prime is 13340445263. The reversal of 13340445216 is 61254404331.

It is a happy number.

It is a super-2 number, since 2×13340445216² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 20429146 + ... + 20429798.

It is an arithmetic number, because the mean of its divisors is an integer number (146390706).

Almost surely, 2^13340445216 is an apocalyptic number.

13340445216 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 13340445216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21080261664).

13340445216 is an abundant number, since it is smaller than the sum of its proper divisors (28820078112).

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

13340445216 is a wasteful number, since it uses less digits than its factorization.

13340445216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 13340445216 its reverse (61254404331), we get a palindrome (74594849547).

The spelling of 13340445216 in words is "thirteen billion, three hundred forty million, four hundred forty-five thousand, two hundred sixteen".