198336393972 has 72 divisors (see below), whose sum is σ = 512548912512. Its totient is φ = 64638316800.

The previous prime is 198336393929. The next prime is 198336393977. The reversal of 198336393972 is 279393633891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198336393977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1582572 + ... + 1703292.

It is an arithmetic number, because the mean of its divisors is an integer number (7118734896).

Almost surely, 2^198336393972 is an apocalyptic number.

198336393972 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 198336393972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256274456256).

198336393972 is an abundant number, since it is smaller than the sum of its proper divisors (314212518540).

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

198336393972 is a wasteful number, since it uses less digits than its factorization.

198336393972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121749 (or 121744 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 63.

The spelling of 198336393972 in words is "one hundred ninety-eight billion, three hundred thirty-six million, three hundred ninety-three thousand, nine hundred seventy-two".