38185675211405 has 16 divisors (see below), whose sum is σ = 45833650902000. Its totient is φ = 30541313802240.

The previous prime is 38185675211381. The next prime is 38185675211423. The reversal of 38185675211405 is 50411257658183.

It is a happy number.

38185675211405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1782347822116 + 36403327389289 = 1335046^2 + 6033517^2 .

It is not a de Polignac number, because 38185675211405 - 2²⁰ = 38185674162829 is a prime.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 580217141 + ... + 580282949.

It is an arithmetic number, because the mean of its divisors is an integer number (2864603181375).

Almost surely, 2^{38185675211405} is an apocalyptic number.

It is an amenable number.

38185675211405 is a deficient number, since it is larger than the sum of its proper divisors (7647975690595).

38185675211405 is a wasteful number, since it uses less digits than its factorization.

38185675211405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91504.

The product of its (nonzero) digits is 8064000, while the sum is 56.

The spelling of 38185675211405 in words is "thirty-eight trillion, one hundred eighty-five billion, six hundred seventy-five million, two hundred eleven thousand, four hundred five".