198180000000216 has 256 divisors, whose sum is σ = 593289736704000. Its totient is φ = 60932857927680.

The previous prime is 198180000000193. The next prime is 198180000000217. The reversal of 198180000000216 is 612000000081891.

It is a super-2 number, since 2×198180000000216² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198180000000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36223722361 + ... + 36223727831.

It is an arithmetic number, because the mean of its divisors is an integer number (2317538034000).

Almost surely, 2^{198180000000216} 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 198180000000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296644868352000).

198180000000216 is an abundant number, since it is smaller than the sum of its proper divisors (395109736703784).

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

198180000000216 is a wasteful number, since it uses less digits than its factorization.

198180000000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 198180000000216 in words is "one hundred ninety-eight trillion, one hundred eighty billion, two hundred sixteen", and thus it is an aban number.