191798761834449 has 243 divisors, whose sum is σ = 357364485675561. Its totient is φ = 98763224424480.

The previous prime is 191798761834369. The next prime is 191798761834499. The reversal of 191798761834449 is 944438167897191.

It is a happy number.

The square root of 191798761834449 is 13849143.

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

191798761834449 is a `hidden beast` number, since 1 + 9 + 1 + 7 + 9 + 87 + 61 + 8 + 34 + 449 = 666.

It is not a de Polignac number, because 191798761834449 - 2²⁵ = 191798728280017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (191798761834499) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 534258389332 + ... + 534258389690.

Almost surely, 2^{191798761834449} is an apocalyptic number.

191798761834449 is the 13849143-rd square number.

191798761834449 is the 6924572-nd centered octagonal number.

It is an amenable number.

191798761834449 is a deficient number, since it is larger than the sum of its proper divisors (165565723841112).

191798761834449 is an equidigital number, since it uses as much as digits as its factorization.

191798761834449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 547 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 81.

The spelling of 191798761834449 in words is "one hundred ninety-one trillion, seven hundred ninety-eight billion, seven hundred sixty-one million, eight hundred thirty-four thousand, four hundred forty-nine".