448668302016 has 224 divisors, whose sum is σ = 1318726319616. Its totient is φ = 134606208000.

The previous prime is 448668302009. The next prime is 448668302081. The reversal of 448668302016 is 610203866844.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25802061 + ... + 25819443.

Almost surely, 2^448668302016 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 448668302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659363159808).

448668302016 is an abundant number, since it is smaller than the sum of its proper divisors (870058017600).

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

448668302016 is a wasteful number, since it uses less digits than its factorization.

448668302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17532 (or 17500 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 448668302016 in words is "four hundred forty-eight billion, six hundred sixty-eight million, three hundred two thousand, sixteen".