448111808000 has 160 divisors (see below), whose sum is σ = 1176208244640. Its totient is φ = 169810329600.

The previous prime is 448111807987. The next prime is 448111808029. The reversal of 448111808000 is 808111844.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031744 + ... + 1400256.

It is an arithmetic number, because the mean of its divisors is an integer number (7351301529).

Almost surely, 2^448111808000 is an apocalyptic number.

448111808000 is a gapful number since it is divisible by the number (40) 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 448111808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588104122320).

448111808000 is an abundant number, since it is smaller than the sum of its proper divisors (728096436640).

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

448111808000 is an equidigital number, since it uses as much as digits as its factorization.

448111808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368565 (or 368539 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

Adding to 448111808000 its reverse (808111844), we get a palindrome (448919919844).

The spelling of 448111808000 in words is "four hundred forty-eight billion, one hundred eleven million, eight hundred eight thousand".