198898160400 has 135 divisors (see below), whose sum is σ = 690324739039. Its totient is φ = 53032373760.

The previous prime is 198898160393. The next prime is 198898160423. The reversal of 198898160400 is 4061898891.

The square root of 198898160400 is 445980.

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

198898160400 is a `hidden beast` number, since 1 + 98 + 8 + 98 + 1 + 60 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78761054736 + 120137105664 = 280644^2 + 346608^2 .

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, 26755084 + ... + 26762516.

Almost surely, 2^198898160400 is an apocalyptic number.

198898160400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198898160400 is the 445980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198898160400

198898160400 is an abundant number, since it is smaller than the sum of its proper divisors (491426578639).

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

198898160400 is an frugal number, since it uses more digits than its factorization.

198898160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 198898160400 in words is "one hundred ninety-eight billion, eight hundred ninety-eight million, one hundred sixty thousand, four hundred".