82068277248 has 384 divisors, whose sum is σ = 250472476800. Its totient is φ = 26873856000.

The previous prime is 82068277231. The next prime is 82068277253. The reversal of 82068277248 is 84277286028.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82068277194 and 82068277203.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 326965123 + ... + 326965373.

It is an arithmetic number, because the mean of its divisors is an integer number (652272075).

Almost surely, 2^82068277248 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 82068277248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125236238400).

82068277248 is an abundant number, since it is smaller than the sum of its proper divisors (168404199552).

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

82068277248 is an frugal number, since it uses more digits than its factorization.

82068277248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 82068277248 in words is "eighty-two billion, sixty-eight million, two hundred seventy-seven thousand, two hundred forty-eight".