38385147400017 has 16 divisors (see below), whose sum is σ = 55931066377920. Its totient is φ = 23222840403200.

The previous prime is 38385147400009. The next prime is 38385147400031. The reversal of 38385147400017 is 71000474158383.

38385147400017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 38385147400017 - 2³ = 38385147400009 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (38385147470017) 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, 1022113284 + ... + 1022150837.

It is an arithmetic number, because the mean of its divisors is an integer number (3495691648620).

Almost surely, 2^{38385147400017} is an apocalyptic number.

It is an amenable number.

38385147400017 is a deficient number, since it is larger than the sum of its proper divisors (17545918977903).

38385147400017 is a wasteful number, since it uses less digits than its factorization.

38385147400017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044264704.

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 38385147400017 in words is "thirty-eight trillion, three hundred eighty-five billion, one hundred forty-seven million, four hundred thousand, seventeen".