83414035074048 has 176 divisors, whose sum is σ = 255795386438400. Its totient is φ = 23672630329344.

The previous prime is 83414035074047. The next prime is 83414035074077. The reversal of 83414035074048 is 84047053041438.

83414035074048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (83414035074047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9812686 + ... + 16220877.

Almost surely, 2^{83414035074048} is an apocalyptic number.

It is an amenable number.

83414035074048 is an abundant number, since it is smaller than the sum of its proper divisors (172381351364352).

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

83414035074048 is a wasteful number, since it uses less digits than its factorization.

83414035074048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26033742 (or 26033724 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 83414035074048 in words is "eighty-three trillion, four hundred fourteen billion, thirty-five million, seventy-four thousand, forty-eight".