198230976000 has 400 divisors, whose sum is σ = 738420059520. Its totient is φ = 52860211200.

The previous prime is 198230975989. The next prime is 198230976007. The reversal of 198230976000 is 679032891.

198230976000 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 30 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198230976007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5164881 + ... + 5203119.

Almost surely, 2^198230976000 is an apocalyptic number.

198230976000 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 198230976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369210029760).

198230976000 is an abundant number, since it is smaller than the sum of its proper divisors (540189083520).

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

198230976000 is an frugal number, since it uses more digits than its factorization.

198230976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38284 (or 38249 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 198230976000 in words is "one hundred ninety-eight billion, two hundred thirty million, nine hundred seventy-six thousand".