448372094016 has 1008 divisors, whose sum is σ = 1631654384640. Its totient is φ = 106064640000.

The previous prime is 448372093979. The next prime is 448372094021. The reversal of 448372094016 is 610490273844.

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 143 ways as a sum of consecutive naturals, for example, 2969351541 + ... + 2969351691.

Almost surely, 2^448372094016 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 448372094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815827192320).

448372094016 is an abundant number, since it is smaller than the sum of its proper divisors (1183282290624).

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

448372094016 is a wasteful number, since it uses less digits than its factorization.

448372094016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 448372094016 in words is "four hundred forty-eight billion, three hundred seventy-two million, ninety-four thousand, sixteen".