198313968384 has 576 divisors, whose sum is σ = 712552135680. Its totient is φ = 53110702080.

The previous prime is 198313968361. The next prime is 198313968403. The reversal of 198313968384 is 483869313891.

198313968384 is a `hidden beast` number, since 1 + 98 + 3 + 1 + 396 + 83 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 379185147 + ... + 379185669.

It is an arithmetic number, because the mean of its divisors is an integer number (1237069680).

Almost surely, 2^198313968384 is an apocalyptic number.

198313968384 is a gapful number since it is divisible by the number (14) 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 198313968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356276067840).

198313968384 is an abundant number, since it is smaller than the sum of its proper divisors (514238167296).

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

198313968384 is a wasteful number, since it uses less digits than its factorization.

198313968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1013 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 198313968384 in words is "one hundred ninety-eight billion, three hundred thirteen million, nine hundred sixty-eight thousand, three hundred eighty-four".