8442662448 has 80 divisors (see below), whose sum is σ = 23926147200. Its totient is φ = 2544061440.

The previous prime is 8442662447. The next prime is 8442662453.

8442662448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 = 8442662397 and 8442662406.

It is not an unprimeable number, because it can be changed into a prime (8442662443) 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, 49848 + ... + 139176.

It is an arithmetic number, because the mean of its divisors is an integer number (299076840).

Almost surely, 2^8442662448 is an apocalyptic number.

8442662448 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 8442662448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963073600).

8442662448 is an abundant number, since it is smaller than the sum of its proper divisors (15483484752).

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

8442662448 is a wasteful number, since it uses less digits than its factorization.

8442662448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89530 (or 89524 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The square root of 8442662448 is about 91883.9618649523. The cubic root of 8442662448 is about 2036.2283289744.

The spelling of 8442662448 in words is "eight billion, four hundred forty-two million, six hundred sixty-two thousand, four hundred forty-eight".