82245680968 has 64 divisors (see below), whose sum is σ = 169944480000. Its totient is φ = 37003955520.

The previous prime is 82245680929. The next prime is 82245681013. The reversal of 82245680968 is 86908654228.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14111671 + ... + 14117497.

It is an arithmetic number, because the mean of its divisors is an integer number (2655382500).

Almost surely, 2^82245680968 is an apocalyptic number.

82245680968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82245680968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84972240000).

82245680968 is an abundant number, since it is smaller than the sum of its proper divisors (87698799032).

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

82245680968 is a wasteful number, since it uses less digits than its factorization.

82245680968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7446 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 82245680968 in words is "eighty-two billion, two hundred forty-five million, six hundred eighty thousand, nine hundred sixty-eight".