198584455664 has 80 divisors (see below), whose sum is σ = 482990753280. Its totient is φ = 77122679040.

The previous prime is 198584455661. The next prime is 198584455681. The reversal of 198584455664 is 466554485891.

198584455664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 198584455664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198584455661) by changing a digit.

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, 1979747 + ... + 2077634.

It is an arithmetic number, because the mean of its divisors is an integer number (6037384416).

Almost surely, 2^198584455664 is an apocalyptic number.

198584455664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

198584455664 is an abundant number, since it is smaller than the sum of its proper divisors (284406297616).

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

198584455664 is a wasteful number, since it uses less digits than its factorization.

198584455664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057438 (or 4057432 counting only the distinct ones).

The product of its digits is 165888000, while the sum is 65.

The spelling of 198584455664 in words is "one hundred ninety-eight billion, five hundred eighty-four million, four hundred fifty-five thousand, six hundred sixty-four".