58481946727801 has 9 divisors (see below), whose sum is σ = 58700623762053. Its totient is φ = 58264081402140.

The previous prime is 58481946727753. The next prime is 58481946727847. The reversal of 58481946727801 is 10872764918485.

The square root of 58481946727801 is 7647349.

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

It is not a de Polignac number, because 58481946727801 - 2¹⁷ = 58481946596729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58481946727601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2072417470 + ... + 2072445688.

It is an arithmetic number, because the mean of its divisors is an integer number (6522291529117).

Almost surely, 2^{58481946727801} is an apocalyptic number.

58481946727801 is the 7647349-th square number.

58481946727801 is the 3823675-th centered octagonal number.

It is an amenable number.

58481946727801 is a deficient number, since it is larger than the sum of its proper divisors (218677034252).

58481946727801 is an frugal number, since it uses more digits than its factorization.

58481946727801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56980 (or 28490 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 70.

The spelling of 58481946727801 in words is "fifty-eight trillion, four hundred eighty-one billion, nine hundred forty-six million, seven hundred twenty-seven thousand, eight hundred one".