198436615680 has 160 divisors (see below), whose sum is σ = 656252863200. Its totient is φ = 51091668992.

The previous prime is 198436615679. The next prime is 198436615739. The reversal of 198436615680 is 86516634891.

198436615680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 198436615680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222765 + ... + 668204.

It is an arithmetic number, because the mean of its divisors is an integer number (4101580395).

Almost surely, 2^198436615680 is an apocalyptic number.

198436615680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198436615680 is an abundant number, since it is smaller than the sum of its proper divisors (457816247520).

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

198436615680 is an equidigital number, since it uses as much as digits as its factorization.

198436615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891024 (or 891008 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 198436615680 in words is "one hundred ninety-eight billion, four hundred thirty-six million, six hundred fifteen thousand, six hundred eighty".