38604587267745 has 128 divisors (see below), whose sum is σ = 71196126681600. Its totient is φ = 19823445218304.

The previous prime is 38604587267713. The next prime is 38604587267797. The reversal of 38604587267745 is 54776278540683.

38604587267745 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 458 + 72 + 67 + 7 + 45 = 666.

38604587267745 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 38604587267745 - 2⁵ = 38604587267713 is a prime.

It is a super-3 number, since 3×38604587267745³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 127 ways as a sum of consecutive naturals, for example, 2340656719 + ... + 2340673211.

It is an arithmetic number, because the mean of its divisors is an integer number (556219739700).

Almost surely, 2^{38604587267745} is an apocalyptic number.

It is an amenable number.

38604587267745 is a deficient number, since it is larger than the sum of its proper divisors (32591539413855).

38604587267745 is a wasteful number, since it uses less digits than its factorization.

38604587267745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18176 (or 18170 counting only the distinct ones).

The product of its (nonzero) digits is 1896652800, while the sum is 72.

The spelling of 38604587267745 in words is "thirty-eight trillion, six hundred four billion, five hundred eighty-seven million, two hundred sixty-seven thousand, seven hundred forty-five".