198342340416 has 448 divisors, whose sum is σ = 649706803200. Its totient is φ = 59322447360.

The previous prime is 198342340379. The next prime is 198342340429. The reversal of 198342340416 is 614043243891.

198342340416 is a `hidden beast` number, since 198 + 3 + 4 + 2 + 3 + 40 + 416 = 666.

It is a super-3 number, since 3×198342340416³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190896825 + ... + 190897863.

It is an arithmetic number, because the mean of its divisors is an integer number (1450238400).

Almost surely, 2^198342340416 is an apocalyptic number.

198342340416 is a gapful number since it is divisible by the number (16) 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 198342340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324853401600).

198342340416 is an abundant number, since it is smaller than the sum of its proper divisors (451364462784).

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

198342340416 is a wasteful number, since it uses less digits than its factorization.

198342340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 198342340416 in words is "one hundred ninety-eight billion, three hundred forty-two million, three hundred forty thousand, four hundred sixteen".