198362710161160 has 256 divisors, whose sum is σ = 473945022720000. Its totient is φ = 74623519088640.

The previous prime is 198362710161127. The next prime is 198362710161169. The reversal of 198362710161160 is 61161017263891.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 198362710161098 and 198362710161107.

It is not an unprimeable number, because it can be changed into a prime (198362710161169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31154812297 + ... + 31154818663.

It is an arithmetic number, because the mean of its divisors is an integer number (1851347745000).

Almost surely, 2^{198362710161160} is an apocalyptic number.

198362710161160 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 198362710161160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236972511360000).

198362710161160 is an abundant number, since it is smaller than the sum of its proper divisors (275582312558840).

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

198362710161160 is a wasteful number, since it uses less digits than its factorization.

198362710161160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384 (or 12380 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 198362710161160 in words is "one hundred ninety-eight trillion, three hundred sixty-two billion, seven hundred ten million, one hundred sixty-one thousand, one hundred sixty".