84404211240448 has 160 divisors (see below), whose sum is σ = 194342061133440. Its totient is φ = 36217865871360.

The previous prime is 84404211240413. The next prime is 84404211240529.

84404211240448 is nontrivially palindromic in base 10.

84404211240448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 84404211240398 and 84404211240407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28889686 + ... + 31676842.

It is an arithmetic number, because the mean of its divisors is an integer number (1214637882084).

Almost surely, 2^{84404211240448} is an apocalyptic number.

84404211240448 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 84404211240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97171030566720).

84404211240448 is an abundant number, since it is smaller than the sum of its proper divisors (109937849892992).

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

84404211240448 is a wasteful number, since it uses less digits than its factorization.

84404211240448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787488 (or 2787472 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 46.

It can be divided in two parts, 8440421 and 1240448, that added together give a palindrome (9680869).

The spelling of 84404211240448 in words is "eighty-four trillion, four hundred four billion, two hundred eleven million, two hundred forty thousand, four hundred forty-eight".