38833505217 has 64 divisors (see below), whose sum is σ = 62416936960. Its totient is φ = 23720703552.

The previous prime is 38833505213. The next prime is 38833505267. The reversal of 38833505217 is 71250533883.

38833505217 is a `hidden beast` number, since 3 + 8 + 83 + 350 + 5 + 217 = 666.

It is not a de Polignac number, because 38833505217 - 2² = 38833505213 is a prime.

It is a super-2 number, since 2×38833505217² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38833505213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42814878 + ... + 42815784.

It is an arithmetic number, because the mean of its divisors is an integer number (975264640).

Almost surely, 2^38833505217 is an apocalyptic number.

It is an amenable number.

38833505217 is a deficient number, since it is larger than the sum of its proper divisors (23583431743).

38833505217 is a wasteful number, since it uses less digits than its factorization.

38833505217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 38833505217 in words is "thirty-eight billion, eight hundred thirty-three million, five hundred five thousand, two hundred seventeen".