8442112448 has 224 divisors, whose sum is σ = 21883957248. Its totient is φ = 3135283200.

The previous prime is 8442112423. The next prime is 8442112451.

8442112448 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11151686 + ... + 11152442.

Almost surely, 2^8442112448 is an apocalyptic number.

8442112448 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 8442112448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10941978624).

8442112448 is an abundant number, since it is smaller than the sum of its proper divisors (13441844800).

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

8442112448 is a wasteful number, since it uses less digits than its factorization.

8442112448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 881 counting only the distinct ones).

The product of its digits is 65536, while the sum is 38.

The square root of 8442112448 is about 91880.9689108686. The cubic root of 8442112448 is about 2036.1841110946.

It can be divided in two parts, 84421 and 12448, that added together give a palindrome (96869).

The spelling of 8442112448 in words is "eight billion, four hundred forty-two million, one hundred twelve thousand, four hundred forty-eight".