448267908096 has 264 divisors, whose sum is σ = 1327192330464. Its totient is φ = 145647452160.

The previous prime is 448267908089. The next prime is 448267908107. The reversal of 448267908096 is 690809762844.

448267908096 is a `hidden beast` number, since 4 + 482 + 6 + 79 + 0 + 80 + 9 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 273834190 + ... + 273835826.

It is an arithmetic number, because the mean of its divisors is an integer number (5027243676).

Almost surely, 2^448267908096 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 448267908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663596165232).

448267908096 is an abundant number, since it is smaller than the sum of its proper divisors (878924422368).

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

448267908096 is a wasteful number, since it uses less digits than its factorization.

448267908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 448267908096 in words is "four hundred forty-eight billion, two hundred sixty-seven million, nine hundred eight thousand, ninety-six".