48873271329 has 27 divisors (see below), whose sum is σ = 71869067283. Its totient is φ = 32004296064.

The previous prime is 48873271267. The next prime is 48873271387. The reversal of 48873271329 is 92317237884.

The square root of 48873271329 is 221073.

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

48873271329 is a `hidden beast` number, since 48 + 8 + 7 + 3 + 271 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20000464929 + 28872806400 = 141423^2 + 169920^2 .

It is not a de Polignac number, because 48873271329 - 2¹³ = 48873263137 is a prime.

It is a super-3 number, since 3×48873271329³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48873276329) 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, 39129297 + ... + 39130545.

Almost surely, 2^48873271329 is an apocalyptic number.

48873271329 is the 221073-rd square number.

48873271329 is the 110537-th centered octagonal number.

It is an amenable number.

48873271329 is a deficient number, since it is larger than the sum of its proper divisors (22995795954).

48873271329 is an frugal number, since it uses more digits than its factorization.

48873271329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 1311 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 48873271329 in words is "forty-eight billion, eight hundred seventy-three million, two hundred seventy-one thousand, three hundred twenty-nine".