198198183312 has 240 divisors, whose sum is σ = 594521823168. Its totient is φ = 63878492160.

The previous prime is 198198183283. The next prime is 198198183317. The reversal of 198198183312 is 213381891891.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (198198183317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18007603 + ... + 18018605.

Almost surely, 2^198198183312 is an apocalyptic number.

198198183312 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 198198183312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297260911584).

198198183312 is an abundant number, since it is smaller than the sum of its proper divisors (396323639856).

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

198198183312 is a wasteful number, since it uses less digits than its factorization.

198198183312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11180 (or 11162 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The spelling of 198198183312 in words is "one hundred ninety-eight billion, one hundred ninety-eight million, one hundred eighty-three thousand, three hundred twelve".