82668037023168 has 224 divisors, whose sum is σ = 223437023353152. Its totient is φ = 26965298380800.

The previous prime is 82668037023161. The next prime is 82668037023181. The reversal of 82668037023168 is 86132073086628.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82668037023161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6659788930 + ... + 6659801342.

It is an arithmetic number, because the mean of its divisors is an integer number (997486711398).

Almost surely, 2^{82668037023168} 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 82668037023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111718511676576).

82668037023168 is an abundant number, since it is smaller than the sum of its proper divisors (140768986329984).

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

82668037023168 is a wasteful number, since it uses less digits than its factorization.

82668037023168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14143 (or 14133 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 82668037023168 in words is "eighty-two trillion, six hundred sixty-eight billion, thirty-seven million, twenty-three thousand, one hundred sixty-eight".