198648358929216 has 224 divisors, whose sum is σ = 667803871278080. Its totient is φ = 56723727416832.

The previous prime is 198648358929187. The next prime is 198648358929233. The reversal of 198648358929216 is 612929853846891.

198648358929216 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 4 + 8 + 3 + 589 + 2 + 9 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×198648358929216² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16075695 + ... + 25607121.

Almost surely, 2^{198648358929216} is an apocalyptic number.

198648358929216 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 198648358929216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333901935639040).

198648358929216 is an abundant number, since it is smaller than the sum of its proper divisors (469155512348864).

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

198648358929216 is a wasteful number, since it uses less digits than its factorization.

198648358929216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533178 (or 9533162 counting only the distinct ones).

The product of its digits is 3224862720, while the sum is 81.

The spelling of 198648358929216 in words is "one hundred ninety-eight trillion, six hundred forty-eight billion, three hundred fifty-eight million, nine hundred twenty-nine thousand, two hundred sixteen".