38885563317241 has 27 divisors (see below), whose sum is σ = 40969328973391. Its totient is φ = 36904733527904.

The previous prime is 38885563317239. The next prime is 38885563317247. The reversal of 38885563317241 is 14271336558883.

It is a happy number.

The square root of 38885563317241 is 6235829.

It is a perfect power (a square), and thus also a powerful number.

38885563317241 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 only one way, i.e., 22841565111225 + 16043998206016 = 4779285^2 + 4005496^2 .

It is not a de Polignac number, because 38885563317241 - 2¹ = 38885563317239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38885563317247) 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 26 ways as a sum of consecutive naturals, for example, 19649096190 + ... + 19649098168.

Almost surely, 2^{38885563317241} is an apocalyptic number.

38885563317241 is the 6235829-th square number.

38885563317241 is the 3117915-th centered octagonal number.

It is an amenable number.

38885563317241 is a deficient number, since it is larger than the sum of its proper divisors (2083765656150).

38885563317241 is an frugal number, since it uses more digits than its factorization.

38885563317241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 2139 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 64.

The spelling of 38885563317241 in words is "thirty-eight trillion, eight hundred eighty-five billion, five hundred sixty-three million, three hundred seventeen thousand, two hundred forty-one".