9918249120 has 672 divisors, whose sum is σ = 39239714304. Its totient is φ = 2351462400.

The previous prime is 9918249059. The next prime is 9918249163. The reversal of 9918249120 is 219428199.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47005815 + ... + 47006025.

It is an arithmetic number, because the mean of its divisors is an integer number (58392432).

Almost surely, 2^9918249120 is an apocalyptic number.

9918249120 is a gapful number since it is divisible by the number (90) 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 9918249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19619857152).

9918249120 is an abundant number, since it is smaller than the sum of its proper divisors (29321465184).

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

9918249120 is a wasteful number, since it uses less digits than its factorization.

9918249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9918249120 is about 99590.4067669171. The cubic root of 9918249120 is about 2148.5477208778.

The spelling of 9918249120 in words is "nine billion, nine hundred eighteen million, two hundred forty-nine thousand, one hundred twenty".