198263310336 has 1152 divisors, whose sum is σ = 765121593600. Its totient is φ = 49368268800.

The previous prime is 198263310331. The next prime is 198263310353. The reversal of 198263310336 is 633013362891.

198263310336 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 633 + 1 + 0 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 198263310291 and 198263310300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198263310331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4835690476 + ... + 4835690516.

It is an arithmetic number, because the mean of its divisors is an integer number (664168050).

Almost surely, 2^198263310336 is an apocalyptic number.

198263310336 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 198263310336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382560796800).

198263310336 is an abundant number, since it is smaller than the sum of its proper divisors (566858283264).

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

198263310336 is a wasteful number, since it uses less digits than its factorization.

198263310336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 198263310336 in words is "one hundred ninety-eight billion, two hundred sixty-three million, three hundred ten thousand, three hundred thirty-six".