58398105649 has 27 divisors (see below), whose sum is σ = 65593885539. Its totient is φ = 51965921280.

The previous prime is 58398105643. The next prime is 58398105677. The reversal of 58398105649 is 94650189385.

The square root of 58398105649 is 241657.

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

It can be written as a sum of positive squares in 13 ways, for example, as 23291338225 + 35106767424 = 152615^2 + 187368^2 .

It is not a de Polignac number, because 58398105649 - 2³ = 58398105641 is a prime.

It is a super-2 number, since 2×58398105649² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58398105593 and 58398105602.

It is not an unprimeable number, because it can be changed into a prime (58398105641) 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, 91104369 + ... + 91105009.

Almost surely, 2^58398105649 is an apocalyptic number.

58398105649 is the 241657-th square number.

58398105649 is the 120829-th centered octagonal number.

It is an amenable number.

58398105649 is a deficient number, since it is larger than the sum of its proper divisors (7195779890).

58398105649 is an frugal number, since it uses more digits than its factorization.

58398105649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 58398105649 in words is "fifty-eight billion, three hundred ninety-eight million, one hundred five thousand, six hundred forty-nine".