8442114112448 has 112 divisors (see below), whose sum is σ = 17964396278400. Its totient is φ = 3924214594560.

The previous prime is 8442114112441. The next prime is 8442114112463.

8442114112448 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 8442114112399 and 8442114112408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8442114112441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40862786 + ... + 41068862.

Almost surely, 2^{8442114112448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8442114112448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8982198139200).

8442114112448 is an abundant number, since it is smaller than the sum of its proper divisors (9522282165952).

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

8442114112448 is a wasteful number, since it uses less digits than its factorization.

8442114112448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206738 (or 206728 counting only the distinct ones).

The product of its digits is 262144, while the sum is 44.

The spelling of 8442114112448 in words is "eight trillion, four hundred forty-two billion, one hundred fourteen million, one hundred twelve thousand, four hundred forty-eight".