82302308352 has 312 divisors, whose sum is σ = 274623916320. Its totient is φ = 23471063040.

The previous prime is 82302308351. The next prime is 82302308371. The reversal of 82302308352 is 25380320328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82302308351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6887599 + ... + 6899537.

It is an arithmetic number, because the mean of its divisors is an integer number (880204860).

Almost surely, 2^82302308352 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 82302308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137311958160).

82302308352 is an abundant number, since it is smaller than the sum of its proper divisors (192321607968).

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

82302308352 is a wasteful number, since it uses less digits than its factorization.

82302308352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997 (or 11972 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 82302308352 in words is "eighty-two billion, three hundred two million, three hundred eight thousand, three hundred fifty-two".