198868668953472 has 1280 divisors, whose sum is σ = 691052474112000. Its totient is φ = 55604695449600.

The previous prime is 198868668953413. The next prime is 198868668953497. The reversal of 198868668953472 is 274359866868891.

198868668953472 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 6 + 8 + 6 + 6 + 89 + 53 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 273546999573 + ... + 273547000299.

It is an arithmetic number, because the mean of its divisors is an integer number (539884745400).

Almost surely, 2^{198868668953472} is an apocalyptic number.

198868668953472 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 198868668953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345526237056000).

198868668953472 is an abundant number, since it is smaller than the sum of its proper divisors (492183805158528).

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

198868668953472 is a wasteful number, since it uses less digits than its factorization.

198868668953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1228 counting only the distinct ones).

The product of its digits is 60197437440, while the sum is 90.

The spelling of 198868668953472 in words is "one hundred ninety-eight trillion, eight hundred sixty-eight billion, six hundred sixty-eight million, nine hundred fifty-three thousand, four hundred seventy-two".