9904448988 has 360 divisors, whose sum is σ = 31284792000. Its totient is φ = 2722906368.

The previous prime is 9904448977. The next prime is 9904448993. The reversal of 9904448988 is 8898444099.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66472738 + ... + 66472886.

It is an arithmetic number, because the mean of its divisors is an integer number (86902200).

Almost surely, 2^9904448988 is an apocalyptic number.

9904448988 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9904448988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642396000).

9904448988 is an abundant number, since it is smaller than the sum of its proper divisors (21380343012).

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

9904448988 is a wasteful number, since it uses less digits than its factorization.

9904448988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The square root of 9904448988 is about 99521.0982053554. The cubic root of 9904448988 is about 2147.5507705727.

The spelling of 9904448988 in words is "nine billion, nine hundred four million, four hundred forty-eight thousand, nine hundred eighty-eight".