198864253056 has 288 divisors, whose sum is σ = 642385371600. Its totient is φ = 54345274368.

The previous prime is 198864253043. The next prime is 198864253057. The reversal of 198864253056 is 650352468891.

It is a super-2 number, since 2×198864253056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198864252987 and 198864253005.

It is not an unprimeable number, because it can be changed into a prime (198864253057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9943675 + ... + 9963653.

Almost surely, 2^198864253056 is an apocalyptic number.

198864253056 is a gapful number since it is divisible by the number (16) 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 198864253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321192685800).

198864253056 is an abundant number, since it is smaller than the sum of its proper divisors (443521118544).

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

198864253056 is a wasteful number, since it uses less digits than its factorization.

198864253056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20056 (or 20014 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 198864253056 in words is "one hundred ninety-eight billion, eight hundred sixty-four million, two hundred fifty-three thousand, fifty-six".