198272448000 has 1920 divisors, whose sum is σ = 864379676160. Its totient is φ = 44789760000.

The previous prime is 198272447983. The next prime is 198272448067. The reversal of 198272448000 is 844272891.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3250367970 + ... + 3250368030.

It is an arithmetic number, because the mean of its divisors is an integer number (450197748).

Almost surely, 2^198272448000 is an apocalyptic number.

198272448000 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 198272448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432189838080).

198272448000 is an abundant number, since it is smaller than the sum of its proper divisors (666107228160).

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

198272448000 is an equidigital number, since it uses as much as digits as its factorization.

198272448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 198272448000 in words is "one hundred ninety-eight billion, two hundred seventy-two million, four hundred forty-eight thousand".