9198144000 has 320 divisors, whose sum is σ = 33985860480. Its totient is φ = 2452377600.

The previous prime is 9198143993. The next prime is 9198144001. The reversal of 9198144000 is 4418919.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9198144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725339 + ... + 1730661.

It is an arithmetic number, because the mean of its divisors is an integer number (106205814).

Almost surely, 2^9198144000 is an apocalyptic number.

9198144000 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 9198144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992930240).

9198144000 is an abundant number, since it is smaller than the sum of its proper divisors (24787716480).

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

9198144000 is an equidigital number, since it uses as much as digits as its factorization.

9198144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9198144000 is about 95906.9549094329. The cubic root of 9198144000 is about 2095.2381902138.

It can be divided in two parts, 91981 and 44000, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 9198144000 in words is "nine billion, one hundred ninety-eight million, one hundred forty-four thousand".