198220848400 has 135 divisors (see below), whose sum is σ = 482928620941. Its totient is φ = 78187755520.

The previous prime is 198220848341. The next prime is 198220848421. The reversal of 198220848400 is 4848022891.

The square root of 198220848400 is 445220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 128659950864 + 69560897536 = 358692^2 + 263744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1006197102 + ... + 1006197298.

Almost surely, 2^198220848400 is an apocalyptic number.

198220848400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198220848400 is the 445220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198220848400

198220848400 is an abundant number, since it is smaller than the sum of its proper divisors (284707772541).

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

198220848400 is an equidigital number, since it uses as much as digits as its factorization.

198220848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 198220848400 in words is "one hundred ninety-eight billion, two hundred twenty million, eight hundred forty-eight thousand, four hundred".