448365563844 has 192 divisors, whose sum is σ = 1242232733952. Its totient is φ = 124305408000.

The previous prime is 448365563837. The next prime is 448365563917.

448365563844 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×448365563844² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132926142 + ... + 132929514.

It is an arithmetic number, because the mean of its divisors is an integer number (6469962156).

Almost surely, 2^448365563844 is an apocalyptic number.

448365563844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448365563844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621116366976).

448365563844 is an abundant number, since it is smaller than the sum of its proper divisors (793867170108).

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

448365563844 is a wasteful number, since it uses less digits than its factorization.

448365563844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5044 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 60.

The spelling of 448365563844 in words is "four hundred forty-eight billion, three hundred sixty-five million, five hundred sixty-three thousand, eight hundred forty-four".