82068540162048 has 408 divisors, whose sum is σ = 264142197985536. Its totient is φ = 24340031078400.

The previous prime is 82068540162041. The next prime is 82068540162071. The reversal of 82068540162048 is 84026104586028.

82068540162048 is a `hidden beast` number, since 8 + 2 + 0 + 6 + 8 + 5 + 4 + 0 + 1 + 620 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82068540161985 and 82068540162003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82068540162041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304804443 + ... + 305073573.

Almost surely, 2^{82068540162048} is an apocalyptic number.

82068540162048 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 82068540162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132071098992768).

82068540162048 is an abundant number, since it is smaller than the sum of its proper divisors (182073657823488).

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

82068540162048 is a wasteful number, since it uses less digits than its factorization.

82068540162048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269227 (or 269194 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 82068540162048 in words is "eighty-two trillion, sixty-eight billion, five hundred forty million, one hundred sixty-two thousand, forty-eight".