84456044064 has 576 divisors, whose sum is σ = 310572662400. Its totient is φ = 22174580736.

The previous prime is 84456044063. The next prime is 84456044111. The reversal of 84456044064 is 46044065448.

84456044064 is a `hidden beast` number, since 8 + 44 + 560 + 4 + 40 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (84456044063) 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 95 ways as a sum of consecutive naturals, for example, 30946252 + ... + 30948980.

It is an arithmetic number, because the mean of its divisors is an integer number (539188650).

Almost surely, 2^84456044064 is an apocalyptic number.

84456044064 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 84456044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155286331200).

84456044064 is an abundant number, since it is smaller than the sum of its proper divisors (226116618336).

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

84456044064 is a wasteful number, since it uses less digits than its factorization.

84456044064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 84456044064 in words is "eighty-four billion, four hundred fifty-six million, forty-four thousand, sixty-four".