185385038517 has 36 divisors (see below), whose sum is σ = 313362687456. Its totient is φ = 105299928720.

The previous prime is 185385038483. The next prime is 185385038569. The reversal of 185385038517 is 715830583581.

185385038517 is a `hidden beast` number, since 1 + 8 + 53 + 8 + 503 + 85 + 1 + 7 = 666.

It is not a de Polignac number, because 185385038517 - 2¹⁴ = 185385022133 is a prime.

It is a super-2 number, since 2×185385038517² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185385038417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1184959 + ... + 1332252.

It is an arithmetic number, because the mean of its divisors is an integer number (8704519096).

Almost surely, 2^185385038517 is an apocalyptic number.

It is an amenable number.

185385038517 is a deficient number, since it is larger than the sum of its proper divisors (127977648939).

185385038517 is a wasteful number, since it uses less digits than its factorization.

185385038517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517398 (or 2517388 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 185385038517 in words is "one hundred eighty-five billion, three hundred eighty-five million, thirty-eight thousand, five hundred seventeen".