198487908000 has 720 divisors, whose sum is σ = 769330906344. Its totient is φ = 50114764800.

The previous prime is 198487907999. The next prime is 198487908011. The reversal of 198487908000 is 809784891.

198487908000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 115564642704 + 82923265296 = 339948^2 + 287964^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 116963152 + ... + 116964848.

Almost surely, 2^198487908000 is an apocalyptic number.

198487908000 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 198487908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384665453172).

198487908000 is an abundant number, since it is smaller than the sum of its proper divisors (570842998344).

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

198487908000 is a wasteful number, since it uses less digits than its factorization.

198487908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 198487908000 in words is "one hundred ninety-eight billion, four hundred eighty-seven million, nine hundred eight thousand".