38401362006517 has 8 divisors (see below), whose sum is σ = 39034035632312. Its totient is φ = 37768789771200.

The previous prime is 38401362006493. The next prime is 38401362006551. The reversal of 38401362006517 is 71560026310483.

It can be written as a sum of positive squares in 4 ways, for example, as 8888906961 + 38392473099556 = 94281^2 + 6196166^2 .

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 38401362006517 - 2¹¹ = 38401362004469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401362006017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24583698 + ... + 26099059.

It is an arithmetic number, because the mean of its divisors is an integer number (4879254454039).

Almost surely, 2^{38401362006517} is an apocalyptic number.

It is an amenable number.

38401362006517 is a deficient number, since it is larger than the sum of its proper divisors (632673625795).

38401362006517 is a wasteful number, since it uses less digits than its factorization.

38401362006517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50695239.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 38401362006517 in words is "thirty-eight trillion, four hundred one billion, three hundred sixty-two million, six thousand, five hundred seventeen".