448494222494844 has 288 divisors, whose sum is σ = 1294655082739200. Its totient is φ = 130019578859520.

The previous prime is 448494222494837. The next prime is 448494222494897.

448494222494844 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 94 + 2 + 2 + 2 + 494 + 8 + 44 = 666.

448494222494844 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×448494222494844² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2282094417 + ... + 2282290935.

It is an arithmetic number, because the mean of its divisors is an integer number (4495330148400).

Almost surely, 2^{448494222494844} 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 448494222494844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647327541369600).

448494222494844 is an abundant number, since it is smaller than the sum of its proper divisors (846160860244356).

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

448494222494844 is a wasteful number, since it uses less digits than its factorization.

448494222494844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201393 (or 201388 counting only the distinct ones).

The product of its digits is 2717908992, while the sum is 72.

The spelling of 448494222494844 in words is "four hundred forty-eight trillion, four hundred ninety-four billion, two hundred twenty-two million, four hundred ninety-four thousand, eight hundred forty-four".