198173848320 has 432 divisors, whose sum is σ = 812644035840. Its totient is φ = 45296381952.

The previous prime is 198173848319. The next prime is 198173848339. The reversal of 198173848320 is 23848371891.

It is a happy number.

198173848320 is a `hidden beast` number, since 1 + 98 + 1 + 73 + 8 + 483 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 2131771 + ... + 2222789.

Almost surely, 2^198173848320 is an apocalyptic number.

198173848320 is a gapful number since it is divisible by the number (10) 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 198173848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406322017920).

198173848320 is an abundant number, since it is smaller than the sum of its proper divisors (614470187520).

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

198173848320 is an frugal number, since it uses more digits than its factorization.

198173848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91062 (or 91036 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 198173848320 in words is "one hundred ninety-eight billion, one hundred seventy-three million, eight hundred forty-eight thousand, three hundred twenty".