198823242816 has 315 divisors, whose sum is σ = 648977438263. Its totient is φ = 60142452480.

The previous prime is 198823242799. The next prime is 198823242823. The reversal of 198823242816 is 618242328891.

The square root of 198823242816 is 445896.

It is a perfect power (a square), and thus also a powerful number.

198823242816 is a `hidden beast` number, since 198 + 8 + 23 + 2 + 428 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 44 ways as a sum of consecutive naturals, for example, 353149351 + ... + 353149913.

Almost surely, 2^198823242816 is an apocalyptic number.

198823242816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198823242816 is the 445896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198823242816

198823242816 is an abundant number, since it is smaller than the sum of its proper divisors (450154195447).

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

198823242816 is an frugal number, since it uses more digits than its factorization.

198823242816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 579 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 198823242816 in words is "one hundred ninety-eight billion, eight hundred twenty-three million, two hundred forty-two thousand, eight hundred sixteen".