73838617332817 has 12 divisors (see below), whose sum is σ = 80970961933836. Its totient is φ = 67098784094720.

The previous prime is 73838617332811. The next prime is 73838617332829. The reversal of 73838617332817 is 71823371683837.

It can be written as a sum of positive squares in 6 ways, for example, as 360392256 + 73838256940561 = 18984^2 + 8592919^2 .

It is not a de Polignac number, because 73838617332817 - 2⁴³ = 65042524310609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73838617332811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2582297284 + ... + 2582325877.

It is an arithmetic number, because the mean of its divisors is an integer number (6747580161153).

Almost surely, 2^{73838617332817} is an apocalyptic number.

It is an amenable number.

73838617332817 is a deficient number, since it is larger than the sum of its proper divisors (7132344601019).

73838617332817 is a wasteful number, since it uses less digits than its factorization.

73838617332817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164623236 (or 5164623207 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 67.

The spelling of 73838617332817 in words is "seventy-three trillion, eight hundred thirty-eight billion, six hundred seventeen million, three hundred thirty-two thousand, eight hundred seventeen".