58345344354385 has 16 divisors (see below), whose sum is σ = 76387697989632. Its totient is φ = 42428345430400.

The previous prime is 58345344354347. The next prime is 58345344354413.

58345344354385 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58345344354385 - 2¹³ = 58345344346193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57395089 + ... + 58402798.

It is an arithmetic number, because the mean of its divisors is an integer number (4774231124352).

Almost surely, 2^{58345344354385} is an apocalyptic number.

58345344354385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58345344354385 is a deficient number, since it is larger than the sum of its proper divisors (18042353635247).

58345344354385 is a wasteful number, since it uses less digits than its factorization.

58345344354385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115807064.

The product of its digits is 829440000, while the sum is 64.

The spelling of 58345344354385 in words is "fifty-eight trillion, three hundred forty-five billion, three hundred forty-four million, three hundred fifty-four thousand, three hundred eighty-five".