448485936000 has 128 divisors (see below), whose sum is σ = 1486731036960. Its totient is φ = 119596236800.

The previous prime is 448485935969. The next prime is 448485936011. The reversal of 448485936000 is 639584844.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×448485936000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4623729 + ... + 4719728.

Almost surely, 2^448485936000 is an apocalyptic number.

448485936000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448485936000 is an abundant number, since it is smaller than the sum of its proper divisors (1038245100960).

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

448485936000 is an equidigital number, since it uses as much as digits as its factorization.

448485936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343489 (or 9343467 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 448485936000 in words is "four hundred forty-eight billion, four hundred eighty-five million, nine hundred thirty-six thousand".