9985938144 has 288 divisors, whose sum is σ = 33389175456. Its totient is φ = 2589511680.

The previous prime is 9985938133. The next prime is 9985938169. The reversal of 9985938144 is 4418395899.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3728934 + ... + 3731610.

It is an arithmetic number, because the mean of its divisors is an integer number (115934637).

Almost surely, 2^9985938144 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 9985938144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694587728).

9985938144 is an abundant number, since it is smaller than the sum of its proper divisors (23403237312).

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

9985938144 is a wasteful number, since it uses less digits than its factorization.

9985938144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2763 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 60.

The square root of 9985938144 is about 99929.6659856321. The cubic root of 9985938144 is about 2153.4243713062.

The spelling of 9985938144 in words is "nine billion, nine hundred eighty-five million, nine hundred thirty-eight thousand, one hundred forty-four".