80882434234368 has 576 divisors, whose sum is σ = 265188697956000. Its totient is φ = 24213989228544.

The previous prime is 80882434234367. The next prime is 80882434234379. The reversal of 80882434234368 is 86343243428808.

80882434234368 is a `hidden beast` number, since 8 + 0 + 8 + 8 + 2 + 4 + 34 + 234 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80882434234367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 984061818 + ... + 984144006.

Almost surely, 2^{80882434234368} 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 80882434234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132594348978000).

80882434234368 is an abundant number, since it is smaller than the sum of its proper divisors (184306263721632).

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

80882434234368 is a wasteful number, since it uses less digits than its factorization.

80882434234368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82307 (or 82244 counting only the distinct ones).

The product of its (nonzero) digits is 169869312, while the sum is 63.

The spelling of 80882434234368 in words is "eighty trillion, eight hundred eighty-two billion, four hundred thirty-four million, two hundred thirty-four thousand, three hundred sixty-eight".