198009782496 has 576 divisors, whose sum is σ = 618411096576. Its totient is φ = 62270208000.

The previous prime is 198009782489. The next prime is 198009782501. The reversal of 198009782496 is 694287900891.

It is a super-2 number, since 2×198009782496² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1960492846 + ... + 1960492946.

It is an arithmetic number, because the mean of its divisors is an integer number (1073630376).

Almost surely, 2^198009782496 is an apocalyptic number.

198009782496 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 198009782496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309205548288).

198009782496 is an abundant number, since it is smaller than the sum of its proper divisors (420401314080).

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

198009782496 is a wasteful number, since it uses less digits than its factorization.

198009782496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 198009782496 in words is "one hundred ninety-eight billion, nine million, seven hundred eighty-two thousand, four hundred ninety-six".