448059892896 has 1536 divisors, whose sum is σ = 1796795965440. Its totient is φ = 106420469760.

The previous prime is 448059892877. The next prime is 448059892897. The reversal of 448059892896 is 698298950844.

448059892896 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 598 + 9 + 28 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (448059892897) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6137806716 + ... + 6137806788.

It is an arithmetic number, because the mean of its divisors is an integer number (1169789040).

Almost surely, 2^448059892896 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 448059892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898397982720).

448059892896 is an abundant number, since it is smaller than the sum of its proper divisors (1348736072544).

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

448059892896 is a wasteful number, since it uses less digits than its factorization.

448059892896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 448059892896 in words is "four hundred forty-eight billion, fifty-nine million, eight hundred ninety-two thousand, eight hundred ninety-six".