9198748800 has 480 divisors, whose sum is σ = 35444249280. Its totient is φ = 2344826880.

The previous prime is 9198748799. The next prime is 9198748883. The reversal of 9198748800 is 88478919.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5960829 + ... + 5962371.

It is an arithmetic number, because the mean of its divisors is an integer number (73842186).

Almost surely, 2^9198748800 is an apocalyptic number.

9198748800 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 9198748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17722124640).

9198748800 is an abundant number, since it is smaller than the sum of its proper divisors (26245500480).

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

9198748800 is a wasteful number, since it uses less digits than its factorization.

9198748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 9198748800 is about 95910.1079136084. The cubic root of 9198748800 is about 2095.2841115172.

The spelling of 9198748800 in words is "nine billion, one hundred ninety-eight million, seven hundred forty-eight thousand, eight hundred".