82163229192 has 324 divisors, whose sum is σ = 254448570285. Its totient is φ = 23933162880.

The previous prime is 82163229173. The next prime is 82163229263. The reversal of 82163229192 is 29192236128.

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.

82163229192 is a `hidden beast` number, since 8 + 2 + 1 + 632 + 2 + 9 + 1 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66288741156 + 15874488036 = 257466^2 + 125994^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202686.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 989918383 + ... + 989918465.

Almost surely, 2^82163229192 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 82163229192

82163229192 is an abundant number, since it is smaller than the sum of its proper divisors (172285341093).

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

82163229192 is a wasteful number, since it uses less digits than its factorization.

82163229192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 136 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 82163229192 in words is "eighty-two billion, one hundred sixty-three million, two hundred twenty-nine thousand, one hundred ninety-two".