198843210072 has 512 divisors, whose sum is σ = 649264896000. Its totient is φ = 55824629760.

The previous prime is 198843210053. The next prime is 198843210077. The reversal of 198843210072 is 270012348891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198843210077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 553880629 + ... + 553880987.

It is an arithmetic number, because the mean of its divisors is an integer number (1268095500).

Almost surely, 2^198843210072 is an apocalyptic number.

198843210072 is a gapful number since it is divisible by the number (12) 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 198843210072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324632448000).

198843210072 is an abundant number, since it is smaller than the sum of its proper divisors (450421685928).

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

198843210072 is a wasteful number, since it uses less digits than its factorization.

198843210072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 198843210072 in words is "one hundred ninety-eight billion, eight hundred forty-three million, two hundred ten thousand, seventy-two".