198133218020 has 48 divisors (see below), whose sum is σ = 435715555968. Its totient is φ = 75537665280.

The previous prime is 198133218013. The next prime is 198133218029. The reversal of 198133218020 is 20812331891.

198133218020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×198133218020³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (198133218029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 637154 + ... + 895673.

It is an arithmetic number, because the mean of its divisors is an integer number (9077407416).

Almost surely, 2^198133218020 is an apocalyptic number.

198133218020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198133218020 is an abundant number, since it is smaller than the sum of its proper divisors (237582337948).

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

198133218020 is a wasteful number, since it uses less digits than its factorization.

198133218020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533140 (or 1533138 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 198133218020 in words is "one hundred ninety-eight billion, one hundred thirty-three million, two hundred eighteen thousand, twenty".