8446114116448 has 192 divisors, whose sum is σ = 18451033856640. Its totient is φ = 3789412761600.

The previous prime is 8446114116437. The next prime is 8446114116563.

8446114116448 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8446114116395 and 8446114116404.

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, 177449133 + ... + 177496723.

It is an arithmetic number, because the mean of its divisors is an integer number (96099134670).

Almost surely, 2^{8446114116448} 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 8446114116448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9225516928320).

8446114116448 is an abundant number, since it is smaller than the sum of its proper divisors (10004919740192).

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

8446114116448 is a wasteful number, since it uses less digits than its factorization.

8446114116448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47841 (or 47833 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The spelling of 8446114116448 in words is "eight trillion, four hundred forty-six billion, one hundred fourteen million, one hundred sixteen thousand, four hundred forty-eight".