198405310464 has 192 divisors, whose sum is σ = 588437740800. Its totient is φ = 66054832128.

The previous prime is 198405310429. The next prime is 198405310511. The reversal of 198405310464 is 464013504891.

198405310464 is a `hidden beast` number, since 1 + 98 + 40 + 53 + 10 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60989862 + ... + 60993114.

It is an arithmetic number, because the mean of its divisors is an integer number (3064779900).

Almost surely, 2^198405310464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198405310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294218870400).

198405310464 is an abundant number, since it is smaller than the sum of its proper divisors (390032430336).

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

198405310464 is a wasteful number, since it uses less digits than its factorization.

198405310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 198405310464 in words is "one hundred ninety-eight billion, four hundred five million, three hundred ten thousand, four hundred sixty-four".