193141791441 has 63 divisors (see below), whose sum is σ = 297564944673. Its totient is φ = 125304252480.

The previous prime is 193141791307. The next prime is 193141791443. The reversal of 193141791441 is 144197141391.

The square root of 193141791441 is 439479.

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

193141791441 is a `hidden beast` number, since 1 + 9 + 31 + 4 + 179 + 1 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27977580225 + 165164211216 = 167265^2 + 406404^2 .

It is not a de Polignac number, because 193141791441 - 2¹⁵ = 193141758673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (193141791443) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 486503055 + ... + 486503451.

Almost surely, 2^193141791441 is an apocalyptic number.

193141791441 is the 439479-th square number.

193141791441 is the 219740-th centered octagonal number.

It is an amenable number.

193141791441 is a deficient number, since it is larger than the sum of its proper divisors (104423153232).

193141791441 is an frugal number, since it uses more digits than its factorization.

193141791441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 441 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 193141791441 in words is "one hundred ninety-three billion, one hundred forty-one million, seven hundred ninety-one thousand, four hundred forty-one".