198239580354816 has 3456 divisors, whose sum is σ = 830586240368640. Its totient is φ = 45327237120000.

The previous prime is 198239580354787. The next prime is 198239580354853. The reversal of 198239580354816 is 618453085932891.

198239580354816 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 3 + 9 + 580 + 35 + 4 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 172232475841 + ... + 172232476991.

Almost surely, 2^{198239580354816} is an apocalyptic number.

198239580354816 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 198239580354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415293120184320).

198239580354816 is an abundant number, since it is smaller than the sum of its proper divisors (632346660013824).

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

198239580354816 is a wasteful number, since it uses less digits than its factorization.

198239580354816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 198239580354816 in words is "one hundred ninety-eight trillion, two hundred thirty-nine billion, five hundred eighty million, three hundred fifty-four thousand, eight hundred sixteen".