198898449984 has 336 divisors, whose sum is σ = 623894382384. Its totient is φ = 60217344000.

The previous prime is 198898449983. The next prime is 198898450001. The reversal of 198898449984 is 489944898891.

198898449984 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 98 + 449 + 9 + 84 = 666.

198898449984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1015824384 + 197882625600 = 31872^2 + 444840^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (198898449983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136887402 + ... + 136888854.

It is an arithmetic number, because the mean of its divisors is an integer number (1856828519).

Almost surely, 2^198898449984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198898449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311947191192).

198898449984 is an abundant number, since it is smaller than the sum of its proper divisors (424995932400).

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

198898449984 is a wasteful number, since it uses less digits than its factorization.

198898449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1753 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 81.

The spelling of 198898449984 in words is "one hundred ninety-eight billion, eight hundred ninety-eight million, four hundred forty-nine thousand, nine hundred eighty-four".