58284109166409 has 45 divisors (see below), whose sum is σ = 101282141138871. Its totient is φ = 33304930399440.

The previous prime is 58284109166407. The next prime is 58284109166471. The reversal of 58284109166409 is 90466190148285.

The square root of 58284109166409 is 7634403.

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

58284109166409 is a `hidden beast` number, since 5 + 8 + 2 + 84 + 1 + 0 + 91 + 66 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49238331102009 + 9045778064400 = 7017003^2 + 3007620^2 .

It is not a de Polignac number, because 58284109166409 - 2¹ = 58284109166407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (58284109166407) 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, 480906799 + ... + 481027979.

Almost surely, 2^{58284109166409} is an apocalyptic number.

58284109166409 is the 7634403-rd square number.

58284109166409 is the 3817202-nd centered octagonal number.

It is an amenable number.

58284109166409 is a deficient number, since it is larger than the sum of its proper divisors (42998031972462).

58284109166409 is an frugal number, since it uses more digits than its factorization.

58284109166409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242388 (or 121191 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 58284109166409 in words is "fifty-eight trillion, two hundred eighty-four billion, one hundred nine million, one hundred sixty-six thousand, four hundred nine".