38813858513617 has 8 divisors (see below), whose sum is σ = 42342498293472. Its totient is φ = 35285236598400.

The previous prime is 38813858513543. The next prime is 38813858513669. The reversal of 38813858513617 is 71631585831883.

38813858513617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38813858513617 - 2¹⁹ = 38813857989329 is a prime.

It is a super-2 number, since 2×38813858513617² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38813858519617) 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 7 ways as a sum of consecutive naturals, for example, 297618 + ... + 8815684.

It is an arithmetic number, because the mean of its divisors is an integer number (5292812286684).

Almost surely, 2^{38813858513617} is an apocalyptic number.

It is an amenable number.

38813858513617 is a deficient number, since it is larger than the sum of its proper divisors (3528639779855).

38813858513617 is a wasteful number, since it uses less digits than its factorization.

38813858513617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932319.

The product of its digits is 116121600, while the sum is 67.

The spelling of 38813858513617 in words is "thirty-eight trillion, eight hundred thirteen billion, eight hundred fifty-eight million, five hundred thirteen thousand, six hundred seventeen".