948444202161 has 45 divisors (see below), whose sum is σ = 1425890677233. Its totient is φ = 628270110720.

The previous prime is 948444202129. The next prime is 948444202171. The reversal of 948444202161 is 161202444849.

The square root of 948444202161 is 973881.

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

948444202161 is a `hidden beast` number, since 9 + 4 + 8 + 4 + 4 + 420 + 216 + 1 = 666.

948444202161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 128043024561 + 820401177600 = 357831^2 + 905760^2 .

It is not a de Polignac number, because 948444202161 - 2⁵ = 948444202129 is a prime.

It is a super-2 number, since 2×948444202161² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (948444202171) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2112347665 + ... + 2112348113.

Almost surely, 2^948444202161 is an apocalyptic number.

948444202161 is the 973881-st square number.

948444202161 is the 486941-st centered octagonal number.

It is an amenable number.

948444202161 is a deficient number, since it is larger than the sum of its proper divisors (477446475072).

948444202161 is an frugal number, since it uses more digits than its factorization.

948444202161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 948444202161 in words is "nine hundred forty-eight billion, four hundred forty-four million, two hundred two thousand, one hundred sixty-one".