9981149184 has 360 divisors, whose sum is σ = 31487776320. Its totient is φ = 3153199104.

The previous prime is 9981149137. The next prime is 9981149201. The reversal of 9981149184 is 4819411899.

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 a self number, because there is not a number n which added to its sum of digits gives 9981149184.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91570122 + ... + 91570230.

Almost surely, 2^9981149184 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 9981149184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743888160).

9981149184 is an abundant number, since it is smaller than the sum of its proper divisors (21506627136).

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

9981149184 is an equidigital number, since it uses as much as digits as its factorization.

9981149184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 137 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The square root of 9981149184 is about 99905.7014589258. The cubic root of 9981149184 is about 2153.0800767586.

The spelling of 9981149184 in words is "nine billion, nine hundred eighty-one million, one hundred forty-nine thousand, one hundred eighty-four".