82297213344 has 144 divisors (see below), whose sum is σ = 236198682720. Its totient is φ = 27179712000.

The previous prime is 82297213331. The next prime is 82297213379. The reversal of 82297213344 is 44331279228.

82297213344 is a `hidden beast` number, since 8 + 2 + 2 + 97 + 213 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 82297213344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14237847 + ... + 14243625.

It is an arithmetic number, because the mean of its divisors is an integer number (1640268630).

Almost surely, 2^82297213344 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 82297213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118099341360).

82297213344 is an abundant number, since it is smaller than the sum of its proper divisors (153901469376).

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

82297213344 is a wasteful number, since it uses less digits than its factorization.

82297213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6243 (or 6232 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 82297213344 in words is "eighty-two billion, two hundred ninety-seven million, two hundred thirteen thousand, three hundred forty-four".