9945723888 has 160 divisors (see below), whose sum is σ = 30206400000. Its totient is φ = 3124459008.

The previous prime is 9945723883. The next prime is 9945723929. The reversal of 9945723888 is 8883275499.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945723883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1630348 + ... + 1636436.

It is an arithmetic number, because the mean of its divisors is an integer number (188790000).

Almost surely, 2^9945723888 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 9945723888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103200000).

9945723888 is an abundant number, since it is smaller than the sum of its proper divisors (20260676112).

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

9945723888 is a wasteful number, since it uses less digits than its factorization.

9945723888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324 (or 6312 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The square root of 9945723888 is about 99728.2502002316. The cubic root of 9945723888 is about 2150.5298054715.

The spelling of 9945723888 in words is "nine billion, nine hundred forty-five million, seven hundred twenty-three thousand, eight hundred eighty-eight".