241640081761 has 9 divisors (see below), whose sum is σ = 261664523289. Its totient is φ = 223046484336.

The previous prime is 241640081759. The next prime is 241640081797. The reversal of 241640081761 is 167180046142.

The square root of 241640081761 is 491569.

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 204637712161 + 37002369600 = 452369^2 + 192360^2 .

It is not a de Polignac number, because 241640081761 - 2¹ = 241640081759 is a prime.

It is a super-2 number, since 2×241640081761² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241640081731) 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, 6371491 + ... + 6409303.

It is an arithmetic number, because the mean of its divisors is an integer number (29073835921).

Almost surely, 2^241640081761 is an apocalyptic number.

241640081761 is the 491569-th square number.

241640081761 is the 245785-th centered octagonal number.

It is an amenable number.

241640081761 is a deficient number, since it is larger than the sum of its proper divisors (20024441528).

241640081761 is an frugal number, since it uses more digits than its factorization.

241640081761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75652 (or 37826 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 241640081761 in words is "two hundred forty-one billion, six hundred forty million, eighty-one thousand, seven hundred sixty-one".