84448440800 has 72 divisors (see below), whose sum is σ = 213268771800. Its totient is φ = 32614561280.

The previous prime is 84448440773. The next prime is 84448440859. The reversal of 84448440800 is 804484448.

It is a super-2 number, since 2×84448440800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1796810 + ... + 1843209.

It is an arithmetic number, because the mean of its divisors is an integer number (2962066275).

Almost surely, 2^84448440800 is an apocalyptic number.

84448440800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84448440800 is an abundant number, since it is smaller than the sum of its proper divisors (128820331000).

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

84448440800 is a wasteful number, since it uses less digits than its factorization.

84448440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640068 (or 3640055 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The spelling of 84448440800 in words is "eighty-four billion, four hundred forty-eight million, four hundred forty thousand, eight hundred".