198305413056 has 280 divisors, whose sum is σ = 604314036480. Its totient is φ = 64263725568.

The previous prime is 198305413037. The next prime is 198305413067. The reversal of 198305413056 is 650314503891.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50599065 + ... + 50602983.

It is an arithmetic number, because the mean of its divisors is an integer number (2158264416).

Almost surely, 2^198305413056 is an apocalyptic number.

198305413056 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 198305413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302157018240).

198305413056 is an abundant number, since it is smaller than the sum of its proper divisors (406008623424).

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

198305413056 is a wasteful number, since it uses less digits than its factorization.

198305413056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 198305413056 in words is "one hundred ninety-eight billion, three hundred five million, four hundred thirteen thousand, fifty-six".