198901728256 has 297 divisors, whose sum is σ = 511219587501. Its totient is φ = 77066035200.

The previous prime is 198901728217. The next prime is 198901728283. The reversal of 198901728256 is 652827109891.

The square root of 198901728256 is 445984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2191737856 + 196709990400 = 46816^2 + 443520^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 198901728256.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1098904486 + ... + 1098904666.

Almost surely, 2^198901728256 is an apocalyptic number.

198901728256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198901728256 is the 445984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198901728256

198901728256 is an abundant number, since it is smaller than the sum of its proper divisors (312317859245).

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

198901728256 is an equidigital number, since it uses as much as digits as its factorization.

198901728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 198901728256 in words is "one hundred ninety-eight billion, nine hundred one million, seven hundred twenty-eight thousand, two hundred fifty-six".