9945919568816 has 240 divisors, whose sum is σ = 24576108590880. Its totient is φ = 3855771279360.

The previous prime is 9945919568749. The next prime is 9945919568831. The reversal of 9945919568816 is 6188659195499.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1482470870 + ... + 1482477578.

It is an arithmetic number, because the mean of its divisors is an integer number (102400452462).

Almost surely, 2^{9945919568816} 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 9945919568816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288054295440).

9945919568816 is an abundant number, since it is smaller than the sum of its proper divisors (14630189022064).

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

9945919568816 is a wasteful number, since it uses less digits than its factorization.

9945919568816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7559 counting only the distinct ones).

The product of its digits is 1511654400, while the sum is 80.

The spelling of 9945919568816 in words is "nine trillion, nine hundred forty-five billion, nine hundred nineteen million, five hundred sixty-eight thousand, eight hundred sixteen".