198555563621952 has 784 divisors, whose sum is σ = 631433693289600. Its totient is φ = 61736234434560.

The previous prime is 198555563621951. The next prime is 198555563621963. The reversal of 198555563621952 is 259126365555891.

198555563621952 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 5 + 5 + 563 + 6 + 2 + 1 + 9 + 52 = 666.

198555563621952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (198555563621951) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61491346674 + ... + 61491349902.

Almost surely, 2^{198555563621952} is an apocalyptic number.

198555563621952 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 198555563621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315716846644800).

198555563621952 is an abundant number, since it is smaller than the sum of its proper divisors (432878129667648).

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

198555563621952 is an equidigital number, since it uses as much as digits as its factorization.

198555563621952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4301 counting only the distinct ones).

The product of its digits is 874800000, while the sum is 72.

The spelling of 198555563621952 in words is "one hundred ninety-eight trillion, five hundred fifty-five billion, five hundred sixty-three million, six hundred twenty-one thousand, nine hundred fifty-two".