82337023716048 has 30 divisors (see below), whose sum is σ = 230429309427954. Its totient is φ = 27445674571968.

The previous prime is 82337023716041. The next prime is 82337023716049. The reversal of 82337023716048 is 84061732073328.

82337023716048 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 7 + 0 + 23 + 7 + 1 + 604 + 8 = 666.

82337023716048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 64416804416064 + 17920219299984 = 8026008^2 + 4233228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82337023715985 and 82337023716003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82337023716041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285892443315 + ... + 285892443602.

Almost surely, 2^{82337023716048} is an apocalyptic number.

It is an amenable number.

82337023716048 is an abundant number, since it is smaller than the sum of its proper divisors (148092285711906).

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

82337023716048 is a wasteful number, since it uses less digits than its factorization.

82337023716048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571784886931 (or 571784886922 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 82337023716048 in words is "eighty-two trillion, three hundred thirty-seven billion, twenty-three million, seven hundred sixteen thousand, forty-eight".