38416811517 has 32 divisors (see below), whose sum is σ = 65062809600. Its totient is φ = 21946229424.

The previous prime is 38416811513. The next prime is 38416811551. The reversal of 38416811517 is 71511861483.

38416811517 is a `hidden beast` number, since 3 + 8 + 416 + 81 + 151 + 7 = 666.

It is not a de Polignac number, because 38416811517 - 2² = 38416811513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38416811513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684984 + ... + 738942.

It is an arithmetic number, because the mean of its divisors is an integer number (2033212800).

Almost surely, 2^38416811517 is an apocalyptic number.

It is an amenable number.

38416811517 is a deficient number, since it is larger than the sum of its proper divisors (26645998083).

38416811517 is a wasteful number, since it uses less digits than its factorization.

38416811517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57742 (or 57736 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 38416811517 in words is "thirty-eight billion, four hundred sixteen million, eight hundred eleven thousand, five hundred seventeen".