198471744000000 has 819 divisors, whose sum is σ = 717829734142261. Its totient is φ = 52835635200000.

The previous prime is 198471743999989. The next prime is 198471744000043. The reversal of 198471744000000 is 447174891.

It is a happy number.

The square root of 198471744000000 is 14088000.

It is a perfect power (a square), and thus also a powerful number.

198471744000000 is a `hidden beast` number, since 198 + 4 + 7 + 17 + 440 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 173880301031424 + 24591442968576 = 13186368^2 + 4958976^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 198471744000000.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 338111999707 + ... + 338112000293.

Almost surely, 2^{198471744000000} is an apocalyptic number.

198471744000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198471744000000 is the 14088000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198471744000000

198471744000000 is an abundant number, since it is smaller than the sum of its proper divisors (519357990142261).

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

198471744000000 is an frugal number, since it uses more digits than its factorization.

198471744000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 198471744000000 in words is "one hundred ninety-eight trillion, four hundred seventy-one billion, seven hundred forty-four million", and thus it is an aban number.