82818817765744 has 80 divisors (see below), whose sum is σ = 171594350687232. Its totient is φ = 38628609110784.

The previous prime is 82818817765709. The next prime is 82818817765751. The reversal of 82818817765744 is 44756771881828.

It is a super-2 number, since 2×82818817765744² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6325609 + ... + 14340535.

Almost surely, 2^{82818817765744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82818817765744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85797175343616).

82818817765744 is an abundant number, since it is smaller than the sum of its proper divisors (88775532921488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82818817765744 is a wasteful number, since it uses less digits than its factorization.

82818817765744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015654 (or 8015648 counting only the distinct ones).

The product of its digits is 1348730880, while the sum is 76.

The spelling of 82818817765744 in words is "eighty-two trillion, eight hundred eighteen billion, eight hundred seventeen million, seven hundred sixty-five thousand, seven hundred forty-four".