9945849144 has 128 divisors (see below), whose sum is σ = 31030272000. Its totient is φ = 2580819840.

The previous prime is 9945849139. The next prime is 9945849149. The reversal of 9945849144 is 4419485499.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9945849139) and next prime (9945849149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945849149) 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, 2583429 + ... + 2587275.

It is an arithmetic number, because the mean of its divisors is an integer number (242424000).

Almost surely, 2^9945849144 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 9945849144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15515136000).

9945849144 is an abundant number, since it is smaller than the sum of its proper divisors (21084422856).

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

9945849144 is a wasteful number, since it uses less digits than its factorization.

9945849144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5269 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 9945849144 is about 99728.8781848066. The cubic root of 9945849144 is about 2150.5388333255.

The spelling of 9945849144 in words is "nine billion, nine hundred forty-five million, eight hundred forty-nine thousand, one hundred forty-four".