198363917000 has 64 divisors (see below), whose sum is σ = 465084687600. Its totient is φ = 79189478400.

The previous prime is 198363916987. The next prime is 198363917009. The reversal of 198363917000 is 719363891.

It is a happy number.

198363917000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9943679524 + 188420237476 = 99718^2 + 434074^2 .

It is not an unprimeable number, because it can be changed into a prime (198363917009) 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 15 ways as a sum of consecutive naturals, for example, 314144 + ... + 703856.

Almost surely, 2^198363917000 is an apocalyptic number.

198363917000 is a gapful number since it is divisible by the number (10) 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 198363917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232542343800).

198363917000 is an abundant number, since it is smaller than the sum of its proper divisors (266720770600).

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

198363917000 is a wasteful number, since it uses less digits than its factorization.

198363917000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390243 (or 390229 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The spelling of 198363917000 in words is "one hundred ninety-eight billion, three hundred sixty-three million, nine hundred seventeen thousand".