386205482117 has 48 divisors (see below), whose sum is σ = 493320490992. Its totient is φ = 299576309760.

The previous prime is 386205482087. The next prime is 386205482141. The reversal of 386205482117 is 711284502683.

It can be written as a sum of positive squares in 8 ways, for example, as 70540172836 + 315665309281 = 265594^2 + 561841^2 .

It is not a de Polignac number, because 386205482117 - 2¹⁸ = 386205219973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386205482167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 54723053 + ... + 54730109.

It is an arithmetic number, because the mean of its divisors is an integer number (10277510229).

Almost surely, 2^386205482117 is an apocalyptic number.

It is an amenable number.

386205482117 is a deficient number, since it is larger than the sum of its proper divisors (107115008875).

386205482117 is a wasteful number, since it uses less digits than its factorization.

386205482117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 386205482117 in words is "three hundred eighty-six billion, two hundred five million, four hundred eighty-two thousand, one hundred seventeen".