163279838241 has 45 divisors (see below), whose sum is σ = 255823003631. Its totient is φ = 100353827808.

The previous prime is 163279838213. The next prime is 163279838287. The reversal of 163279838241 is 142838972361.

It is a happy number.

The square root of 163279838241 is 404079.

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

It can be written as a sum of positive squares in 7 ways, for example, as 163260443025 + 19395216 = 404055^2 + 4404^2 .

It is a de Polignac number, because none of the positive numbers 2^k-163279838241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (163279838441) 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, 204867655 + ... + 204868451.

Almost surely, 2^163279838241 is an apocalyptic number.

163279838241 is the 404079-th square number.

163279838241 is the 202040-th centered octagonal number.

It is an amenable number.

163279838241 is a deficient number, since it is larger than the sum of its proper divisors (92543165390).

163279838241 is an frugal number, since it uses more digits than its factorization.

163279838241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 813 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 163279838241 in words is "one hundred sixty-three billion, two hundred seventy-nine million, eight hundred thirty-eight thousand, two hundred forty-one".