8442148412448 has 192 divisors, whose sum is σ = 25715848999680. Its totient is φ = 2689357676544.

The previous prime is 8442148412431. The next prime is 8442148412461.

8442148412448 is a `hidden beast` number, since 8 + 4 + 4 + 214 + 8 + 412 + 4 + 4 + 8 = 666.

8442148412448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 = 8442148412394 and 8442148412403.

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, 22728190 + ... + 23096642.

It is an arithmetic number, because the mean of its divisors is an integer number (133936713540).

Almost surely, 2^{8442148412448} 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 8442148412448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12857924499840).

8442148412448 is an abundant number, since it is smaller than the sum of its proper divisors (17273700587232).

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

8442148412448 is a wasteful number, since it uses less digits than its factorization.

8442148412448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369648 (or 369634 counting only the distinct ones).

The product of its digits is 8388608, while the sum is 54.

The spelling of 8442148412448 in words is "eight trillion, four hundred forty-two billion, one hundred forty-eight million, four hundred twelve thousand, four hundred forty-eight".