9944581248 has 320 divisors, whose sum is σ = 34016526720. Its totient is φ = 2825072640.

The previous prime is 9944581243. The next prime is 9944581253. The reversal of 9944581248 is 8421854499.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9944581243) and next prime (9944581253).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9944581194 and 9944581203.

It is not an unprimeable number, because it can be changed into a prime (9944581243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19087228 + ... + 19087748.

It is an arithmetic number, because the mean of its divisors is an integer number (106301646).

Almost surely, 2^9944581248 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 9944581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008263360).

9944581248 is an abundant number, since it is smaller than the sum of its proper divisors (24071945472).

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

9944581248 is a wasteful number, since it uses less digits than its factorization.

9944581248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 796 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 9944581248 is about 99722.5212677658. The cubic root of 9944581248 is about 2150.4474459398.

The spelling of 9944581248 in words is "nine billion, nine hundred forty-four million, five hundred eighty-one thousand, two hundred forty-eight".