198446967680 has 512 divisors, whose sum is σ = 562954613760. Its totient is φ = 66217181184.

The previous prime is 198446967661. The next prime is 198446967701. The reversal of 198446967680 is 86769644891.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a self number, because there is not a number n which added to its sum of digits gives 198446967680.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 407488397 + ... + 407488883.

It is an arithmetic number, because the mean of its divisors is an integer number (1099520730).

Almost surely, 2^198446967680 is an apocalyptic number.

198446967680 is a gapful number since it is divisible by the number (10) 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 198446967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281477306880).

198446967680 is an abundant number, since it is smaller than the sum of its proper divisors (364507646080).

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

198446967680 is a wasteful number, since it uses less digits than its factorization.

198446967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 68.

The spelling of 198446967680 in words is "one hundred ninety-eight billion, four hundred forty-six million, nine hundred sixty-seven thousand, six hundred eighty".