198468144 has 200 divisors, whose sum is σ = 665457408. Its totient is φ = 55935360.

The previous prime is 198468139. The next prime is 198468157. The reversal of 198468144 is 441864891.

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

It is a self number, because there is not a number n which added to its sum of digits gives 198468144.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1188349 + ... + 1188515.

Almost surely, 2^198468144 is an apocalyptic number.

198468144 is a gapful number since it is divisible by the number (14) 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 198468144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332728704).

198468144 is an abundant number, since it is smaller than the sum of its proper divisors (466989264).

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

198468144 is a wasteful number, since it uses less digits than its factorization.

198468144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 198468144 is about 14087.8722311072. The cubic root of 198468144 is about 583.3066613837.

The spelling of 198468144 in words is "one hundred ninety-eight million, four hundred sixty-eight thousand, one hundred forty-four".