871461457441 has 27 divisors (see below), whose sum is σ = 937777665739. Its totient is φ = 809668901888.

The previous prime is 871461457397. The next prime is 871461457453. The reversal of 871461457441 is 144754164178.

The square root of 871461457441 is 933521.

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

It can be written as a sum of positive squares in 13 ways, for example, as 855756355041 + 15705102400 = 925071^2 + 125320^2 .

It is not a de Polignac number, because 871461457441 - 2¹¹ = 871461455393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (871461497441) 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, 1412416965 + ... + 1412417581.

Almost surely, 2^871461457441 is an apocalyptic number.

871461457441 is the 933521-st square number.

871461457441 is the 466761-st centered octagonal number.

It is an amenable number.

871461457441 is a deficient number, since it is larger than the sum of its proper divisors (66316208298).

871461457441 is an frugal number, since it uses more digits than its factorization.

871461457441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 723 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 52.

The spelling of 871461457441 in words is "eight hundred seventy-one billion, four hundred sixty-one million, four hundred fifty-seven thousand, four hundred forty-one".