38817302288133 has 16 divisors (see below), whose sum is σ = 51811321377600. Its totient is φ = 25850748443520.

The previous prime is 38817302288131. The next prime is 38817302288203. The reversal of 38817302288133 is 33188220371883.

38817302288133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38817302288133 - 2¹ = 38817302288131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38817302288131) 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 15 ways as a sum of consecutive naturals, for example, 24929218 + ... + 26440508.

It is an arithmetic number, because the mean of its divisors is an integer number (3238207586100).

Almost surely, 2^{38817302288133} is an apocalyptic number.

It is an amenable number.

38817302288133 is a deficient number, since it is larger than the sum of its proper divisors (12994019089467).

38817302288133 is a wasteful number, since it uses less digits than its factorization.

38817302288133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520372.

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 38817302288133 in words is "thirty-eight trillion, eight hundred seventeen billion, three hundred two million, two hundred eighty-eight thousand, one hundred thirty-three".