58239686241 has 81 divisors (see below), whose sum is σ = 94706958801. Its totient is φ = 34461781200.

The previous prime is 58239686227. The next prime is 58239686269. The reversal of 58239686241 is 14268693285.

The square root of 58239686241 is 241329.

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

58239686241 is a `hidden beast` number, since 5 + 8 + 2 + 3 + 9 + 6 + 8 + 624 + 1 = 666.

It is not a de Polignac number, because 58239686241 - 2¹⁷ = 58239555169 is a prime.

It is a super-2 number, since 2×58239686241² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58239686041) 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 80 ways as a sum of consecutive naturals, for example, 565433796 + ... + 565433898.

Almost surely, 2^58239686241 is an apocalyptic number.

58239686241 is the 241329-th square number.

58239686241 is the 120665-th centered octagonal number.

It is an amenable number.

58239686241 is a deficient number, since it is larger than the sum of its proper divisors (36467272560).

58239686241 is a wasteful number, since it uses less digits than its factorization.

58239686241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 58239686241 in words is "fifty-eight billion, two hundred thirty-nine million, six hundred eighty-six thousand, two hundred forty-one".