1198193472 has 420 divisors, whose sum is σ = 4256966340. Its totient is φ = 332107776.

The previous prime is 1198193467. The next prime is 1198193489. The reversal of 1198193472 is 2743918911.

1198193472 is a `hidden beast` number, since 1 + 1 + 98 + 1 + 93 + 472 = 666.

1198193472 is digitally balanced in base 4, 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 2 ways, for example, as 537497856 + 660695616 = 23184^2 + 25704^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13462804 + ... + 13462892.

Almost surely, 2^1198193472 is an apocalyptic number.

1198193472 is a gapful number since it is divisible by the number (12) 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 1198193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128483170).

1198193472 is an abundant number, since it is smaller than the sum of its proper divisors (3058772868).

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

1198193472 is an equidigital number, since it uses as much as digits as its factorization.

1198193472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1198193472 is about 34614.9313447246. The cubic root of 1198193472 is about 1062.1250451247.

The spelling of 1198193472 in words is "one billion, one hundred ninety-eight million, one hundred ninety-three thousand, four hundred seventy-two".