198454032000 has 384 divisors, whose sum is σ = 814516185600. Its totient is φ = 45360691200.

The previous prime is 198454031987. The next prime is 198454032001. The reversal of 198454032000 is 230454891.

198454032000 is a `hidden beast` number, since 1 + 9 + 8 + 45 + 403 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (198454032001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909561 + ... + 1106439.

It is an arithmetic number, because the mean of its divisors is an integer number (2121135900).

Almost surely, 2^198454032000 is an apocalyptic number.

198454032000 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 198454032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407258092800).

198454032000 is an abundant number, since it is smaller than the sum of its proper divisors (616062153600).

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

198454032000 is a wasteful number, since it uses less digits than its factorization.

198454032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196921 (or 196896 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 198454032000 its reverse (230454891), we get a palindrome (198684486891).

The spelling of 198454032000 in words is "one hundred ninety-eight billion, four hundred fifty-four million, thirty-two thousand".