82226479392 has 162 divisors, whose sum is σ = 238589016939. Its totient is φ = 26862174720.

The previous prime is 82226479373. The next prime is 82226479409. The reversal of 82226479392 is 29397462228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

82226479392 is a `hidden beast` number, since 82 + 2 + 2 + 6 + 479 + 3 + 92 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2519638416 + 79706840976 = 50196^2 + 282324^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202764.

It is a super-2 number, since 2×82226479392² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 296846358 + ... + 296846634.

Almost surely, 2^82226479392 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 82226479392

82226479392 is an abundant number, since it is smaller than the sum of its proper divisors (156362537547).

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

82226479392 is an equidigital number, since it uses as much as digits as its factorization.

82226479392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 343 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 82226479392 in words is "eighty-two billion, two hundred twenty-six million, four hundred seventy-nine thousand, three hundred ninety-two".