198781330801 has 9 divisors (see below), whose sum is σ = 202121116353. Its totient is φ = 195495869520.

The previous prime is 198781330793. The next prime is 198781330843. The reversal of 198781330801 is 108033187891.

The square root of 198781330801 is 445849.

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

It can be written as a sum of positive squares in 4 ways, for example, as 75158770801 + 123622560000 = 274151^2 + 351600^2 .

It is not a de Polignac number, because 198781330801 - 2³ = 198781330793 is a prime.

It is a super-3 number, since 3×198781330801³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198781330901) 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 8 ways as a sum of consecutive naturals, for example, 27193135 + ... + 27200443.

It is an arithmetic number, because the mean of its divisors is an integer number (22457901817).

Almost surely, 2^198781330801 is an apocalyptic number.

198781330801 is the 445849-th square number.

198781330801 is the 222925-th centered octagonal number.

It is an amenable number.

198781330801 is a deficient number, since it is larger than the sum of its proper divisors (3339785552).

198781330801 is an frugal number, since it uses more digits than its factorization.

198781330801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14740 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

Multiplying 198781330801 by its sum of digits (49), we get a square (9740285209249 = 3120943²).

The spelling of 198781330801 in words is "one hundred ninety-eight billion, seven hundred eighty-one million, three hundred thirty thousand, eight hundred one".