82293136848 has 120 divisors (see below), whose sum is σ = 248157728000. Its totient is φ = 25307147520.

The previous prime is 82293136831. The next prime is 82293136873. The reversal of 82293136848 is 84863139228.

82293136848 is a `hidden beast` number, since 8 + 229 + 313 + 68 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82293136794 and 82293136803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3731133 + ... + 3753123.

Almost surely, 2^82293136848 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 82293136848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124078864000).

82293136848 is an abundant number, since it is smaller than the sum of its proper divisors (165864591152).

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

82293136848 is a wasteful number, since it uses less digits than its factorization.

82293136848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24017 (or 24008 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 82293136848 in words is "eighty-two billion, two hundred ninety-three million, one hundred thirty-six thousand, eight hundred forty-eight".