198218122368 has 256 divisors, whose sum is σ = 617807308800. Its totient is φ = 55129890816.

The previous prime is 198218122339. The next prime is 198218122379. The reversal of 198218122368 is 863221812891.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 198218122368.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36175053 + ... + 36180531.

It is an arithmetic number, because the mean of its divisors is an integer number (2413309800).

Almost surely, 2^198218122368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198218122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308903654400).

198218122368 is an abundant number, since it is smaller than the sum of its proper divisors (419589186432).

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

198218122368 is a wasteful number, since it uses less digits than its factorization.

198218122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859 (or 5847 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The spelling of 198218122368 in words is "one hundred ninety-eight billion, two hundred eighteen million, one hundred twenty-two thousand, three hundred sixty-eight".