198434611600 has 45 divisors (see below), whose sum is σ = 476760559683. Its totient is φ = 79370280960.

The previous prime is 198434611589. The next prime is 198434611631. The reversal of 198434611600 is 6116434891.

The square root of 198434611600 is 445460.

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

It can be written as a sum of positive squares in 4 ways, for example, as 117860382864 + 80574228736 = 343308^2 + 283856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8898064 + ... + 8920336.

Almost surely, 2^198434611600 is an apocalyptic number.

198434611600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198434611600 is the 445460-th square number.

It is an amenable number.

198434611600 is an abundant number, since it is smaller than the sum of its proper divisors (278325948083).

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

198434611600 is an frugal number, since it uses more digits than its factorization.

198434611600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44564 (or 22280 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 198434611600 in words is "one hundred ninety-eight billion, four hundred thirty-four million, six hundred eleven thousand, six hundred".