198567853056 has 220 divisors, whose sum is σ = 593735461440. Its totient is φ = 66103050240.

The previous prime is 198567853013. The next prime is 198567853061. The reversal of 198567853056 is 650358765891.

198567853056 is a `hidden beast` number, since 1 + 98 + 5 + 6 + 7 + 8 + 530 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 198567852984 and 198567853002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112885905 + ... + 112887663.

It is an arithmetic number, because the mean of its divisors is an integer number (2698797552).

Almost surely, 2^198567853056 is an apocalyptic number.

198567853056 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 198567853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296867730720).

198567853056 is an abundant number, since it is smaller than the sum of its proper divisors (395167608384).

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

198567853056 is a wasteful number, since it uses less digits than its factorization.

198567853056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 198567853056 in words is "one hundred ninety-eight billion, five hundred sixty-seven million, eight hundred fifty-three thousand, fifty-six".