448860750912 has 1008 divisors, whose sum is σ = 1691667432000. Its totient is φ = 117196886016.

The previous prime is 448860750901. The next prime is 448860750971. The reversal of 448860750912 is 219057068844.

It is a happy number.

448860750912 is a `hidden beast` number, since 4 + 48 + 86 + 0 + 7 + 509 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 419887914 + ... + 419888982.

It is an arithmetic number, because the mean of its divisors is an integer number (1678241500).

Almost surely, 2^448860750912 is an apocalyptic number.

448860750912 is a gapful number since it is divisible by the number (42) 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 448860750912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845833716000).

448860750912 is an abundant number, since it is smaller than the sum of its proper divisors (1242806681088).

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

448860750912 is a wasteful number, since it uses less digits than its factorization.

448860750912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 448860750912 in words is "four hundred forty-eight billion, eight hundred sixty million, seven hundred fifty thousand, nine hundred twelve".