198295397568 has 560 divisors, whose sum is σ = 646033597440. Its totient is φ = 59906304000.

The previous prime is 198295397563. The next prime is 198295397569. The reversal of 198295397568 is 865793592891.

198295397568 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 9 + 53 + 9 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 198295397496 and 198295397505.

It is not an unprimeable number, because it can be changed into a prime (198295397561) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 308390655 + ... + 308391297.

It is an arithmetic number, because the mean of its divisors is an integer number (1153631424).

Almost surely, 2^198295397568 is an apocalyptic number.

198295397568 is a gapful number since it is divisible by the number (18) 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 198295397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323016798720).

198295397568 is an abundant number, since it is smaller than the sum of its proper divisors (447738199872).

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

198295397568 is a wasteful number, since it uses less digits than its factorization.

198295397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 198295397568 in words is "one hundred ninety-eight billion, two hundred ninety-five million, three hundred ninety-seven thousand, five hundred sixty-eight".