38958385084161 has 64 divisors (see below), whose sum is σ = 59894679398400. Its totient is φ = 22358072411136.

The previous prime is 38958385084153. The next prime is 38958385084243. The reversal of 38958385084161 is 16148058385983.

It is not a de Polignac number, because 38958385084161 - 2³ = 38958385084153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38958385084121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693588900 + ... + 693645066.

It is an arithmetic number, because the mean of its divisors is an integer number (935854365600).

Almost surely, 2^{38958385084161} is an apocalyptic number.

It is an amenable number.

38958385084161 is a deficient number, since it is larger than the sum of its proper divisors (20936294314239).

38958385084161 is a wasteful number, since it uses less digits than its factorization.

38958385084161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80918.

The product of its (nonzero) digits is 199065600, while the sum is 69.

The spelling of 38958385084161 in words is "thirty-eight trillion, nine hundred fifty-eight billion, three hundred eighty-five million, eighty-four thousand, one hundred sixty-one".