448344296091648 has 936 divisors, whose sum is σ = 1513869705457200. Its totient is φ = 127306715627520.

The previous prime is 448344296091611. The next prime is 448344296091677. The reversal of 448344296091648 is 846190692443844.

448344296091648 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 4 + 4 + 2 + 9 + 609 + 1 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17364884883 + ... + 17364910701.

It is an arithmetic number, because the mean of its divisors is an integer number (1617382163950).

Almost surely, 2^{448344296091648} is an apocalyptic number.

448344296091648 is a gapful number since it is divisible by the number (48) 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 448344296091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756934852728600).

448344296091648 is an abundant number, since it is smaller than the sum of its proper divisors (1065525409365552).

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

448344296091648 is a wasteful number, since it uses less digits than its factorization.

448344296091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26117 (or 26081 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 448344296091648 in words is "four hundred forty-eight trillion, three hundred forty-four billion, two hundred ninety-six million, ninety-one thousand, six hundred forty-eight".