198681660576 has 576 divisors, whose sum is σ = 706483814400. Its totient is φ = 51677595648.

The previous prime is 198681660571. The next prime is 198681660641. The reversal of 198681660576 is 675066186891.

198681660576 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 8 + 16 + 605 + 7 + 6 = 666.

198681660576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (198681660571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425442295 + ... + 425442761.

It is an arithmetic number, because the mean of its divisors is an integer number (1226534400).

Almost surely, 2^198681660576 is an apocalyptic number.

198681660576 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 198681660576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353241907200).

198681660576 is an abundant number, since it is smaller than the sum of its proper divisors (507802153824).

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

198681660576 is a wasteful number, since it uses less digits than its factorization.

198681660576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 198681660576 in words is "one hundred ninety-eight billion, six hundred eighty-one million, six hundred sixty thousand, five hundred seventy-six".