448416960012 has 192 divisors, whose sum is σ = 1424169492480. Its totient is φ = 120582432000.

The previous prime is 448416960011. The next prime is 448416960031. The reversal of 448416960012 is 210069614844.

448416960012 is a `hidden beast` number, since 4 + 484 + 169 + 6 + 0 + 0 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 448416960012.

It is not an unprimeable number, because it can be changed into a prime (448416960011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 825637 + ... + 1256387.

It is an arithmetic number, because the mean of its divisors is an integer number (7417549440).

Almost surely, 2^448416960012 is an apocalyptic number.

448416960012 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 448416960012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712084746240).

448416960012 is an abundant number, since it is smaller than the sum of its proper divisors (975752532468).

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

448416960012 is a wasteful number, since it uses less digits than its factorization.

448416960012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430800 (or 430780 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 448416960012 in words is "four hundred forty-eight billion, four hundred sixteen million, nine hundred sixty thousand, twelve".