198024516072 has 448 divisors, whose sum is σ = 594601793280. Its totient is φ = 61715437056.

The previous prime is 198024516047. The next prime is 198024516083. The reversal of 198024516072 is 270615420891.

198024516072 is a `hidden beast` number, since 19 + 8 + 0 + 24 + 5 + 1 + 607 + 2 = 666.

198024516072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 111 ways as a sum of consecutive naturals, for example, 624682858 + ... + 624683174.

Almost surely, 2^198024516072 is an apocalyptic number.

198024516072 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 198024516072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297300896640).

198024516072 is an abundant number, since it is smaller than the sum of its proper divisors (396577277208).

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

198024516072 is a wasteful number, since it uses less digits than its factorization.

198024516072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 198024516072 in words is "one hundred ninety-eight billion, twenty-four million, five hundred sixteen thousand, seventy-two".