948132585841 has 27 divisors (see below), whose sum is σ = 1113681254283. Its totient is φ = 804838829760.

The previous prime is 948132585791. The next prime is 948132585853. The reversal of 948132585841 is 148585231849.

The square root of 948132585841 is 973721.

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

It can be written as a sum of positive squares in only one way, i.e., 16706855025 + 931425730816 = 129255^2 + 965104^2 .

It is not a de Polignac number, because 948132585841 - 2⁹ = 948132585329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (948132585941) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 770212696 + ... + 770213926.

Almost surely, 2^948132585841 is an apocalyptic number.

948132585841 is the 973721-st square number.

948132585841 is the 486861-st centered octagonal number.

It is an amenable number.

948132585841 is a deficient number, since it is larger than the sum of its proper divisors (165548668442).

948132585841 is an frugal number, since it uses more digits than its factorization.

948132585841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 1351 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 58.

The spelling of 948132585841 in words is "nine hundred forty-eight billion, one hundred thirty-two million, five hundred eighty-five thousand, eight hundred forty-one".