198851712 has 128 divisors (see below), whose sum is σ = 549331200. Its totient is φ = 63697920.

The previous prime is 198851693. The next prime is 198851713. The reversal of 198851712 is 217158891.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (198851713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517887 + ... + 1518017.

It is an arithmetic number, because the mean of its divisors is an integer number (4291650).

Almost surely, 2^198851712 is an apocalyptic number.

198851712 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 198851712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274665600).

198851712 is an abundant number, since it is smaller than the sum of its proper divisors (350479488).

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

198851712 is a wasteful number, since it uses less digits than its factorization.

198851712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its digits is 40320, while the sum is 42.

The square root of 198851712 is about 14101.4790713599. The cubic root of 198851712 is about 583.6821940082.

The spelling of 198851712 in words is "one hundred ninety-eight million, eight hundred fifty-one thousand, seven hundred twelve".