82316834127672 has 128 divisors (see below), whose sum is σ = 218887004160000. Its totient is φ = 25724448201600.

The previous prime is 82316834127667. The next prime is 82316834127709. The reversal of 82316834127672 is 27672143861328.

It is a super-2 number, since 2×82316834127672² (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 31 ways as a sum of consecutive naturals, for example, 15836329 + ... + 20381927.

It is an arithmetic number, because the mean of its divisors is an integer number (1710054720000).

Almost surely, 2^{82316834127672} 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 82316834127672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109443502080000).

82316834127672 is an abundant number, since it is smaller than the sum of its proper divisors (136570170032328).

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

82316834127672 is a wasteful number, since it uses less digits than its factorization.

82316834127672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546041 (or 4546037 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The spelling of 82316834127672 in words is "eighty-two trillion, three hundred sixteen billion, eight hundred thirty-four million, one hundred twenty-seven thousand, six hundred seventy-two".