198478981800 has 1440 divisors, whose sum is σ = 831362637600. Its totient is φ = 43390080000.

The previous prime is 198478981787. The next prime is 198478981823. The reversal of 198478981800 is 8189874891.

198478981800 is a `hidden beast` number, since 1 + 9 + 8 + 478 + 9 + 81 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3253753770 + ... + 3253753830.

It is an arithmetic number, because the mean of its divisors is an integer number (577335165).

Almost surely, 2^198478981800 is an apocalyptic number.

198478981800 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 198478981800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415681318800).

198478981800 is an abundant number, since it is smaller than the sum of its proper divisors (632883655800).

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

198478981800 is a wasteful number, since it uses less digits than its factorization.

198478981800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 198478981800 in words is "one hundred ninety-eight billion, four hundred seventy-eight million, nine hundred eighty-one thousand, eight hundred".