58347366374385 has 96 divisors (see below), whose sum is σ = 111130955994240. Its totient is φ = 28084175539200.

The previous prime is 58347366374351. The next prime is 58347366374411.

58347366374385 is a `hidden beast` number, since 5 + 8 + 3 + 473 + 6 + 6 + 3 + 74 + 3 + 85 = 666.

58347366374385 is nontrivially palindromic in base 10.

58347366374385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58347366374385 - 2¹⁸ = 58347366112241 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1861916437 + ... + 1861947773.

It is an arithmetic number, because the mean of its divisors is an integer number (1157614124940).

Almost surely, 2^{58347366374385} is an apocalyptic number.

58347366374385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58347366374385 is a deficient number, since it is larger than the sum of its proper divisors (52783589619855).

58347366374385 is a wasteful number, since it uses less digits than its factorization.

58347366374385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58559 (or 58556 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 72.

The spelling of 58347366374385 in words is "fifty-eight trillion, three hundred forty-seven billion, three hundred sixty-six million, three hundred seventy-four thousand, three hundred eighty-five".