198499400800 has 144 divisors (see below), whose sum is σ = 499193830800. Its totient is φ = 77028147200.

The previous prime is 198499400783. The next prime is 198499400821. The reversal of 198499400800 is 8004994891.

It is a happy number.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5854296 + ... + 5888104.

It is an arithmetic number, because the mean of its divisors is an integer number (3466623825).

Almost surely, 2^198499400800 is an apocalyptic number.

198499400800 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 198499400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249596915400).

198499400800 is an abundant number, since it is smaller than the sum of its proper divisors (300694430000).

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

198499400800 is a wasteful number, since it uses less digits than its factorization.

198499400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34049 (or 34036 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 198499400800 in words is "one hundred ninety-eight billion, four hundred ninety-nine million, four hundred thousand, eight hundred".