82184178716164 has 192 divisors, whose sum is σ = 177136010956800. Its totient is φ = 32565281587200.

The previous prime is 82184178716153. The next prime is 82184178716243. The reversal of 82184178716164 is 46161787148128.

It is a junction number, because it is equal to n+sod(n) for n = 82184178716096 and 82184178716105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6998561677 + ... + 6998573419.

It is an arithmetic number, because the mean of its divisors is an integer number (922583390400).

Almost surely, 2^{82184178716164} 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 82184178716164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88568005478400).

82184178716164 is an abundant number, since it is smaller than the sum of its proper divisors (94951832240636).

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

82184178716164 is a wasteful number, since it uses less digits than its factorization.

82184178716164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12998 (or 12996 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 64.

The spelling of 82184178716164 in words is "eighty-two trillion, one hundred eighty-four billion, one hundred seventy-eight million, seven hundred sixteen thousand, one hundred sixty-four".