448077845844 has 96 divisors (see below), whose sum is σ = 1174400864000. Its totient is φ = 147727732608.

The previous prime is 448077845837. The next prime is 448077845849. The reversal of 448077845844 is 448548770844.

448077845844 is a `hidden beast` number, since 4 + 48 + 0 + 7 + 7 + 8 + 4 + 584 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448077845849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9197502 + ... + 9246090.

Almost surely, 2^448077845844 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 448077845844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587200432000).

448077845844 is an abundant number, since it is smaller than the sum of its proper divisors (726323018156).

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

448077845844 is a wasteful number, since it uses less digits than its factorization.

448077845844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49534 (or 49526 counting only the distinct ones).

The product of its (nonzero) digits is 128450560, while the sum is 63.

It can be divided in two parts, 448077 and 845844, that added together give a palindrome (1293921).

The spelling of 448077845844 in words is "four hundred forty-eight billion, seventy-seven million, eight hundred forty-five thousand, eight hundred forty-four".