198772413921 has 27 divisors (see below), whose sum is σ = 288616919097. Its totient is φ = 131825675520.

The previous prime is 198772413893. The next prime is 198772413991. The reversal of 198772413921 is 129314277891.

The square root of 198772413921 is 445839.

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

198772413921 is a `hidden beast` number, since 1 + 9 + 8 + 7 + 7 + 241 + 392 + 1 = 666.

198772413921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104422691025 + 94349722896 = 323145^2 + 307164^2 .

It is not a de Polignac number, because 198772413921 - 2⁹ = 198772413409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198772413991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 472143291 + ... + 472143711.

Almost surely, 2^198772413921 is an apocalyptic number.

198772413921 is the 445839-th square number.

198772413921 is the 222920-th centered octagonal number.

It is an amenable number.

198772413921 is a deficient number, since it is larger than the sum of its proper divisors (89844505176).

198772413921 is an frugal number, since it uses more digits than its factorization.

198772413921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 777 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 198772413921 in words is "one hundred ninety-eight billion, seven hundred seventy-two million, four hundred thirteen thousand, nine hundred twenty-one".