448017106401384 has 256 divisors, whose sum is σ = 1279789142016000. Its totient is φ = 129556877829120.

The previous prime is 448017106401383. The next prime is 448017106401493. The reversal of 448017106401384 is 483104601710844.

It is not an unprimeable number, because it can be changed into a prime (448017106401383) 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, 14704015302 + ... + 14704045770.

It is an arithmetic number, because the mean of its divisors is an integer number (4999176336000).

Almost surely, 2^{448017106401384} 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 448017106401384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639894571008000).

448017106401384 is an abundant number, since it is smaller than the sum of its proper divisors (831772035614616).

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

448017106401384 is a wasteful number, since it uses less digits than its factorization.

448017106401384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50168 (or 50164 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 448017106401384 in words is "four hundred forty-eight trillion, seventeen billion, one hundred six million, four hundred one thousand, three hundred eighty-four".