198265730015232 has 1008 divisors, whose sum is σ = 669295115259264. Its totient is φ = 56538287308800.

The previous prime is 198265730015203. The next prime is 198265730015257. The reversal of 198265730015232 is 232510037562891.

198265730015232 is a `hidden beast` number, since 1 + 9 + 8 + 26 + 573 + 0 + 0 + 15 + 2 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28360135257 + ... + 28360142247.

Almost surely, 2^{198265730015232} is an apocalyptic number.

198265730015232 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 198265730015232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334647557629632).

198265730015232 is an abundant number, since it is smaller than the sum of its proper divisors (471029385244032).

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

198265730015232 is an equidigital number, since it uses as much as digits as its factorization.

198265730015232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 198265730015232 in words is "one hundred ninety-eight trillion, two hundred sixty-five billion, seven hundred thirty million, fifteen thousand, two hundred thirty-two".