198016431408 has 40 divisors (see below), whose sum is σ = 568380498800. Its totient is φ = 66005476992.

The previous prime is 198016431397. The next prime is 198016431421. The reversal of 198016431408 is 804134610891.

198016431408 is a `hidden beast` number, since 1 + 9 + 80 + 164 + 3 + 1 + 408 = 666.

198016431408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 229185253 + ... + 229186116.

It is an arithmetic number, because the mean of its divisors is an integer number (14209512470).

Almost surely, 2^198016431408 is an apocalyptic number.

198016431408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

198016431408 is an abundant number, since it is smaller than the sum of its proper divisors (370364067392).

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

198016431408 is a wasteful number, since it uses less digits than its factorization.

198016431408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458371386 (or 458371374 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 198016431408 in words is "one hundred ninety-eight billion, sixteen million, four hundred thirty-one thousand, four hundred eight".