82498088192 has 72 divisors (see below), whose sum is σ = 178391714760. Its totient is φ = 38075781120.

The previous prime is 82498088191. The next prime is 82498088203. The reversal of 82498088192 is 29188089428.

It can be written as a sum of positive squares in 4 ways, for example, as 19026340096 + 63471748096 = 137936^2 + 251936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82498088191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489092 + ... + 635772.

It is an arithmetic number, because the mean of its divisors is an integer number (2477662705).

Almost surely, 2^82498088192 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 82498088192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89195857380).

82498088192 is an abundant number, since it is smaller than the sum of its proper divisors (95893626568).

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

82498088192 is an equidigital number, since it uses as much as digits as its factorization.

82498088192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146736 (or 146696 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 59.

The spelling of 82498088192 in words is "eighty-two billion, four hundred ninety-eight million, eighty-eight thousand, one hundred ninety-two".