198432799488 has 1440 divisors, whose sum is σ = 805366087680. Its totient is φ = 47029248000.

The previous prime is 198432799463. The next prime is 198432799517. The reversal of 198432799488 is 884997234891.

198432799488 is a `hidden beast` number, since 19 + 8 + 43 + 2 + 7 + 99 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 940439703 + ... + 940439913.

Almost surely, 2^198432799488 is an apocalyptic number.

198432799488 is a gapful number since it is divisible by the number (18) 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 198432799488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402683043840).

198432799488 is an abundant number, since it is smaller than the sum of its proper divisors (606933288192).

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

198432799488 is a wasteful number, since it uses less digits than its factorization.

198432799488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 284 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 198432799488 in words is "one hundred ninety-eight billion, four hundred thirty-two million, seven hundred ninety-nine thousand, four hundred eighty-eight".