84440804448 has 1152 divisors, whose sum is σ = 328651997184. Its totient is φ = 18393661440.

The previous prime is 84440804443. The next prime is 84440804501.

84440804448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 84440804397 and 84440804406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84440804443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 664888161 + ... + 664888287.

It is an arithmetic number, because the mean of its divisors is an integer number (285288192).

Almost surely, 2^84440804448 is an apocalyptic number.

84440804448 is a gapful number since it is divisible by the number (88) 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 84440804448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164325998592).

84440804448 is an abundant number, since it is smaller than the sum of its proper divisors (244211192736).

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

84440804448 is a wasteful number, since it uses less digits than its factorization.

84440804448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

It can be divided in two parts, 84440 and 804448, that added together give a palindrome (888888).

The spelling of 84440804448 in words is "eighty-four billion, four hundred forty million, eight hundred four thousand, four hundred forty-eight".