58827106849 has 9 divisors (see below), whose sum is σ = 68433507507. Its totient is φ = 50421779184.

The previous prime is 58827106841. The next prime is 58827106853. The reversal of 58827106849 is 94860172885.

It is a happy number.

The square root of 58827106849 is 242543.

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

58827106849 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 only one way, i.e., 10515066849 + 48312040000 = 102543^2 + 219800^2 .

It is not a de Polignac number, because 58827106849 - 2³ = 58827106841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58827106793 and 58827106802.

It is not an unprimeable number, because it can be changed into a prime (58827106841) 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, 1680477 + ... + 1715125.

Almost surely, 2^58827106849 is an apocalyptic number.

58827106849 is the 242543-rd square number.

58827106849 is the 121272-nd centered octagonal number.

It is an amenable number.

58827106849 is a deficient number, since it is larger than the sum of its proper divisors (9606400658).

58827106849 is an frugal number, since it uses more digits than its factorization.

58827106849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69312 (or 34656 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 58827106849 in words is "fifty-eight billion, eight hundred twenty-seven million, one hundred six thousand, eight hundred forty-nine".