448334191296 has 672 divisors, whose sum is σ = 1497787200000. Its totient is φ = 132135763968.

The previous prime is 448334191273. The next prime is 448334191337. The reversal of 448334191296 is 692191433844.

448334191296 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 341 + 9 + 1 + 296 = 666.

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 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 95 ways as a sum of consecutive naturals, for example, 748470805 + ... + 748471403.

It is an arithmetic number, because the mean of its divisors is an integer number (2228850000).

Almost surely, 2^448334191296 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 448334191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748893600000).

448334191296 is an abundant number, since it is smaller than the sum of its proper divisors (1049453008704).

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

448334191296 is a wasteful number, since it uses less digits than its factorization.

448334191296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 789 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 448334191296 in words is "four hundred forty-eight billion, three hundred thirty-four million, one hundred ninety-one thousand, two hundred ninety-six".