83082265683648 has 448 divisors, whose sum is σ = 275249650728960. Its totient is φ = 21486602649600.

The previous prime is 83082265683647. The next prime is 83082265683649. The reversal of 83082265683648 is 84638656228038.

83082265683648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (83082265683647) and next prime (83082265683649).

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

It is a super-2 number, since 2×83082265683648² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83082265683647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3606146113 + ... + 3606169151.

Almost surely, 2^{83082265683648} is an apocalyptic number.

83082265683648 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 83082265683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137624825364480).

83082265683648 is an abundant number, since it is smaller than the sum of its proper divisors (192167385045312).

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

83082265683648 is a wasteful number, since it uses less digits than its factorization.

83082265683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24116 (or 24106 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 69.

The spelling of 83082265683648 in words is "eighty-three trillion, eighty-two billion, two hundred sixty-five million, six hundred eighty-three thousand, six hundred forty-eight".