82914314168 has 128 divisors (see below), whose sum is σ = 192984422400. Its totient is φ = 32606613504.

The previous prime is 82914314101. The next prime is 82914314173. The reversal of 82914314168 is 86141341928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 4842230 + ... + 4859322.

It is an arithmetic number, because the mean of its divisors is an integer number (1507690800).

Almost surely, 2^82914314168 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 82914314168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96492211200).

82914314168 is an abundant number, since it is smaller than the sum of its proper divisors (110070108232).

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

82914314168 is a wasteful number, since it uses less digits than its factorization.

82914314168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17269 (or 17265 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The spelling of 82914314168 in words is "eighty-two billion, nine hundred fourteen million, three hundred fourteen thousand, one hundred sixty-eight".