82245334368 has 192 divisors, whose sum is σ = 224295160320. Its totient is φ = 26375196672.

The previous prime is 82245334351. The next prime is 82245334373. The reversal of 82245334368 is 86343354228.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 51178621 + ... + 51180227.

It is an arithmetic number, because the mean of its divisors is an integer number (1168203960).

Almost surely, 2^82245334368 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 82245334368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112147580160).

82245334368 is an abundant number, since it is smaller than the sum of its proper divisors (142049825952).

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

82245334368 is a wasteful number, since it uses less digits than its factorization.

82245334368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1861 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 82245334368 in words is "eighty-two billion, two hundred forty-five million, three hundred thirty-four thousand, three hundred sixty-eight".