82707107646123 has 24 divisors (see below), whose sum is σ = 122722907470800. Its totient is φ = 53635488565824.

The previous prime is 82707107646083. The next prime is 82707107646181. The reversal of 82707107646123 is 32164670170728.

82707107646123 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 7 + 10 + 7 + 6 + 4 + 612 + 3 = 666.

It is not a de Polignac number, because 82707107646123 - 2³⁸ = 82432229739179 is a prime.

It is a super-2 number, since 2×82707107646123² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82707107646123.

It is not an unprimeable number, because it can be changed into a prime (82707157646123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27175728 + ... + 30065501.

It is an arithmetic number, because the mean of its divisors is an integer number (5113454477950).

Almost surely, 2^{82707107646123} is an apocalyptic number.

82707107646123 is a deficient number, since it is larger than the sum of its proper divisors (40015799824677).

82707107646123 is a wasteful number, since it uses less digits than its factorization.

82707107646123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57245611 (or 57245608 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 82707107646123 in words is "eighty-two trillion, seven hundred seven billion, one hundred seven million, six hundred forty-six thousand, one hundred twenty-three".