82674917842944 has 448 divisors, whose sum is σ = 254523184404480. Its totient is φ = 23380387430400.

The previous prime is 82674917842939. The next prime is 82674917842969. The reversal of 82674917842944 is 44924871947628.

It is a tau number, because it is divible by the number of its divisors (448).

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, 16698627669 + ... + 16698632619.

Almost surely, 2^{82674917842944} is an apocalyptic number.

82674917842944 is a gapful number since it is divisible by the number (84) 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 82674917842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127261592202240).

82674917842944 is an abundant number, since it is smaller than the sum of its proper divisors (171848266561536).

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

82674917842944 is a wasteful number, since it uses less digits than its factorization.

82674917842944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5935 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 75.

The spelling of 82674917842944 in words is "eighty-two trillion, six hundred seventy-four billion, nine hundred seventeen million, eight hundred forty-two thousand, nine hundred forty-four".