198330612480 has 2592 divisors, whose sum is σ = 980315481600. Its totient is φ = 38041436160.

The previous prime is 198330612413. The next prime is 198330612497. The reversal of 198330612480 is 84216033891.

198330612480 is a `hidden beast` number, since 1 + 9 + 83 + 30 + 61 + 2 + 480 = 666.

198330612480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15256200954 + ... + 15256200966.

Almost surely, 2^198330612480 is an apocalyptic number.

198330612480 is a gapful number since it is divisible by the number (10) 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 198330612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490157740800).

198330612480 is an abundant number, since it is smaller than the sum of its proper divisors (781984869120).

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

198330612480 is an equidigital number, since it uses as much as digits as its factorization.

198330612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 198330612480 in words is "one hundred ninety-eight billion, three hundred thirty million, six hundred twelve thousand, four hundred eighty".