198211619232 has 72 divisors (see below), whose sum is σ = 614906510400. Its totient is φ = 60064126080.

The previous prime is 198211619191. The next prime is 198211619233. The reversal of 198211619232 is 232916112891.

198211619232 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 1 + 1 + 619 + 23 + 2 = 666.

198211619232 is digitally balanced in base 3, 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 (72).

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

It is not an unprimeable number, because it can be changed into a prime (198211619233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31280232 + ... + 31286567.

It is an arithmetic number, because the mean of its divisors is an integer number (8540368200).

Almost surely, 2^198211619232 is an apocalyptic number.

198211619232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198211619232 is an abundant number, since it is smaller than the sum of its proper divisors (416694891168).

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

198211619232 is a wasteful number, since it uses less digits than its factorization.

198211619232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62566826 (or 62566815 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 198211619232 in words is "one hundred ninety-eight billion, two hundred eleven million, six hundred nineteen thousand, two hundred thirty-two".