198170685827712 has 768 divisors, whose sum is σ = 671001634800000. Its totient is φ = 57353143910400.

The previous prime is 198170685827711. The next prime is 198170685827717. The reversal of 198170685827712 is 217728586071891.

198170685827712 is a `hidden beast` number, since 19 + 8 + 17 + 0 + 6 + 8 + 582 + 7 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (198170685827711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18875191039 + ... + 18875201537.

Almost surely, 2^{198170685827712} is an apocalyptic number.

198170685827712 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 198170685827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335500817400000).

198170685827712 is an abundant number, since it is smaller than the sum of its proper divisors (472830948972288).

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

198170685827712 is a wasteful number, since it uses less digits than its factorization.

198170685827712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12466 (or 12435 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 72.

The spelling of 198170685827712 in words is "one hundred ninety-eight trillion, one hundred seventy billion, six hundred eighty-five million, eight hundred twenty-seven thousand, seven hundred twelve".