6448888446 has 128 divisors (see below), whose sum is σ = 17611776000. Its totient is φ = 1519896960.

The previous prime is 6448888441. The next prime is 6448888529.

It is a happy number.

6448888446 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 6448888446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448888441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345255 + ... + 363453.

It is an arithmetic number, because the mean of its divisors is an integer number (137592000).

Almost surely, 2^6448888446 is an apocalyptic number.

6448888446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6448888446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888000).

6448888446 is an abundant number, since it is smaller than the sum of its proper divisors (11162887554).

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

6448888446 is a wasteful number, since it uses less digits than its factorization.

6448888446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18294.

The product of its digits is 37748736, while the sum is 60.

The square root of 6448888446 is about 80304.9714899395. The cubic root of 6448888446 is about 1861.3510481160.

The spelling of 6448888446 in words is "six billion, four hundred forty-eight million, eight hundred eighty-eight thousand, four hundred forty-six".