82164510368 has 48 divisors (see below), whose sum is σ = 172911485376. Its totient is φ = 38337615360.

The previous prime is 82164510361. The next prime is 82164510377. The reversal of 82164510368 is 86301546128.

It is not an unprimeable number, because it can be changed into a prime (82164510361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331246 + ... + 1391597.

It is an arithmetic number, because the mean of its divisors is an integer number (3602322612).

Almost surely, 2^82164510368 is an apocalyptic number.

It is an amenable number.

82164510368 is an abundant number, since it is smaller than the sum of its proper divisors (90746975008).

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

82164510368 is a wasteful number, since it uses less digits than its factorization.

82164510368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722917 (or 2722909 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 82164510368 in words is "eighty-two billion, one hundred sixty-four million, five hundred ten thousand, three hundred sixty-eight".