38857516104289 has 8 divisors (see below), whose sum is σ = 39593947504320. Its totient is φ = 38121205842096.

The previous prime is 38857516104283. The next prime is 38857516104301. The reversal of 38857516104289 is 98240161575883.

38857516104289 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 38857516104289 - 2⁷ = 38857516104161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38857516104283) 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, 29636709 + ... + 30920050.

It is an arithmetic number, because the mean of its divisors is an integer number (4949243438040).

It is a 1-persistent number, because it is pandigital, but 2⋅38857516104289 = 77715032208578 is not.

Almost surely, 2^{38857516104289} is an apocalyptic number.

It is an amenable number.

38857516104289 is a deficient number, since it is larger than the sum of its proper divisors (736431400031).

38857516104289 is a wasteful number, since it uses less digits than its factorization.

38857516104289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60568919.

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

The spelling of 38857516104289 in words is "thirty-eight trillion, eight hundred fifty-seven billion, five hundred sixteen million, one hundred four thousand, two hundred eighty-nine".