82038422048 has 54 divisors (see below), whose sum is σ = 177569552727. Its totient is φ = 37282090560.

The previous prime is 82038422033. The next prime is 82038422069. The reversal of 82038422048 is 84022483028.

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.

It can be written as a sum of positive squares in only one way, i.e., 41019211024 + 41019211024 = 202532^2 + 202532^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202532.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82038421996 and 82038422014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17820515 + ... + 17825117.

Almost surely, 2^82038422048 is an apocalyptic number.

82038422048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82038422048

82038422048 is an abundant number, since it is smaller than the sum of its proper divisors (95531130679).

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

82038422048 is an frugal number, since it uses more digits than its factorization.

82038422048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The spelling of 82038422048 in words is "eighty-two billion, thirty-eight million, four hundred twenty-two thousand, forty-eight".