448997124096 has 288 divisors, whose sum is σ = 1401971407200. Its totient is φ = 137952460800.

The previous prime is 448997124083. The next prime is 448997124097. The reversal of 448997124096 is 690421799844.

448997124096 is a `hidden beast` number, since 448 + 9 + 97 + 12 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (448997124097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12940371 + ... + 12975021.

It is an arithmetic number, because the mean of its divisors is an integer number (4867956275).

Almost surely, 2^448997124096 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 448997124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700985703600).

448997124096 is an abundant number, since it is smaller than the sum of its proper divisors (952974283104).

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

448997124096 is a wasteful number, since it uses less digits than its factorization.

448997124096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34735 (or 34712 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 448997124096 in words is "four hundred forty-eight billion, nine hundred ninety-seven million, one hundred twenty-four thousand, ninety-six".