9981648144 has 100 divisors (see below), whose sum is σ = 31112129356. Its totient is φ = 3071271168.

The previous prime is 9981648113. The next prime is 9981648161. The reversal of 9981648144 is 4418461899.

It is a happy number.

9981648144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4046486544 + 5935161600 = 63612^2 + 77040^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279379 + ... + 313074.

Almost surely, 2^9981648144 is an apocalyptic number.

It is an amenable number.

9981648144 is an abundant number, since it is smaller than the sum of its proper divisors (21130481212).

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

9981648144 is a wasteful number, since it uses less digits than its factorization.

9981648144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592486 (or 592471 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 9981648144 is about 99908.1985824987. The cubic root of 9981648144 is about 2153.1159538209.

The spelling of 9981648144 in words is "nine billion, nine hundred eighty-one million, six hundred forty-eight thousand, one hundred forty-four".