448221591729 has 48 divisors (see below), whose sum is σ = 697474315200. Its totient is φ = 276515710848.

The previous prime is 448221591689. The next prime is 448221591733. The reversal of 448221591729 is 927195122844.

448221591729 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 21 + 591 + 7 + 29 = 666.

It is not a de Polignac number, because 448221591729 - 2¹¹ = 448221589681 is a prime.

It is a super-2 number, since 2×448221591729² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (448221591029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1442487 + ... + 1725459.

It is an arithmetic number, because the mean of its divisors is an integer number (14530714900).

Almost surely, 2^448221591729 is an apocalyptic number.

It is an amenable number.

448221591729 is a deficient number, since it is larger than the sum of its proper divisors (249252723471).

448221591729 is a wasteful number, since it uses less digits than its factorization.

448221591729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283214 (or 283211 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 448221591729 in words is "four hundred forty-eight billion, two hundred twenty-one million, five hundred ninety-one thousand, seven hundred twenty-nine".