198226121184 has 960 divisors, whose sum is σ = 762251212800. Its totient is φ = 49104506880.

The previous prime is 198226121147. The next prime is 198226121201. The reversal of 198226121184 is 481121622891.

198226121184 is a `hidden beast` number, since 1 + 9 + 8 + 22 + 612 + 1 + 1 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 330928117 + ... + 330928715.

It is an arithmetic number, because the mean of its divisors is an integer number (794011680).

Almost surely, 2^198226121184 is an apocalyptic number.

198226121184 is a gapful number since it is divisible by the number (14) 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 198226121184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381125606400).

198226121184 is an abundant number, since it is smaller than the sum of its proper divisors (564025091616).

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

198226121184 is a wasteful number, since it uses less digits than its factorization.

198226121184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 198226121184 in words is "one hundred ninety-eight billion, two hundred twenty-six million, one hundred twenty-one thousand, one hundred eighty-four".