198383609822112 has 864 divisors, whose sum is σ = 671339137367808. Its totient is φ = 55198775808000.

The previous prime is 198383609822081. The next prime is 198383609822159. The reversal of 198383609822112 is 211228906383891.

198383609822112 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 8 + 3 + 609 + 8 + 2 + 2 + 1 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 198383609822112.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130258442983 + ... + 130258444505.

It is an arithmetic number, because the mean of its divisors is an integer number (777012890472).

Almost surely, 2^{198383609822112} is an apocalyptic number.

198383609822112 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 198383609822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335669568683904).

198383609822112 is an abundant number, since it is smaller than the sum of its proper divisors (472955527545696).

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

198383609822112 is a wasteful number, since it uses less digits than its factorization.

198383609822112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 198383609822112 in words is "one hundred ninety-eight trillion, three hundred eighty-three billion, six hundred nine million, eight hundred twenty-two thousand, one hundred twelve".