82394632292 has 72 divisors (see below), whose sum is σ = 178232562648. Its totient is φ = 33116160000.

The previous prime is 82394632237. The next prime is 82394632319. The reversal of 82394632292 is 29223649328.

It can be written as a sum of positive squares in 4 ways, for example, as 6629867776 + 75764764516 = 81424^2 + 275254^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82394632292.

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, 892292 + ... + 980292.

It is an arithmetic number, because the mean of its divisors is an integer number (2475452259).

Almost surely, 2^82394632292 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 82394632292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89116281324).

82394632292 is an abundant number, since it is smaller than the sum of its proper divisors (95837930356).

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

82394632292 is a wasteful number, since it uses less digits than its factorization.

82394632292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88317 (or 88308 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 50.

The spelling of 82394632292 in words is "eighty-two billion, three hundred ninety-four million, six hundred thirty-two thousand, two hundred ninety-two".