84442569696 has 144 divisors (see below), whose sum is σ = 244966044960. Its totient is φ = 27582397440.

The previous prime is 84442569689. The next prime is 84442569697. The reversal of 84442569696 is 69696524448.

84442569696 is a `hidden beast` number, since 8 + 4 + 4 + 4 + 2 + 569 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84442569697) 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 23 ways as a sum of consecutive naturals, for example, 14360485 + ... + 14366363.

It is an arithmetic number, because the mean of its divisors is an integer number (1701153090).

Almost surely, 2^84442569696 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 84442569696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122483022480).

84442569696 is an abundant number, since it is smaller than the sum of its proper divisors (160523475264).

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

84442569696 is a wasteful number, since it uses less digits than its factorization.

84442569696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6878 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 84442569696 in words is "eighty-four billion, four hundred forty-two million, five hundred sixty-nine thousand, six hundred ninety-six".