9948916800 has 1344 divisors, whose sum is σ = 43540070400. Its totient is φ = 2189721600.

The previous prime is 9948916753. The next prime is 9948916801. The reversal of 9948916800 is 86198499.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9948916801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 320932785 + ... + 320932815.

Almost surely, 2^9948916800 is an apocalyptic number.

9948916800 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 9948916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21770035200).

9948916800 is an abundant number, since it is smaller than the sum of its proper divisors (33591153600).

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

9948916800 is a wasteful number, since it uses less digits than its factorization.

9948916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9948916800 is about 99744.2569775323. The cubic root of 9948916800 is about 2150.7599116573.

The spelling of 9948916800 in words is "nine billion, nine hundred forty-eight million, nine hundred sixteen thousand, eight hundred".