13144840968 has 256 divisors, whose sum is σ = 40225996800. Its totient is φ = 3500340480.

The previous prime is 13144840931. The next prime is 13144840993. The reversal of 13144840968 is 86904844131.

It is a super-2 number, since 2×13144840968² (a number of 21 digits) contains 22 as substring.

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, 17691205 + ... + 17691947.

It is an arithmetic number, because the mean of its divisors is an integer number (157132800).

Almost surely, 2^13144840968 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 13144840968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112998400).

13144840968 is an abundant number, since it is smaller than the sum of its proper divisors (27081155832).

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

13144840968 is a wasteful number, since it uses less digits than its factorization.

13144840968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 13144840968 in words is "thirteen billion, one hundred forty-four million, eight hundred forty thousand, nine hundred sixty-eight".