448011254016 has 576 divisors, whose sum is σ = 1405654548480. Its totient is φ = 142319462400.

The previous prime is 448011254011. The next prime is 448011254017. The reversal of 448011254016 is 610452110844.

448011254016 is a `hidden beast` number, since 4 + 480 + 1 + 125 + 40 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×448011254016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (448011254011) 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, 1440550501 + ... + 1440550811.

It is an arithmetic number, because the mean of its divisors is an integer number (2440372480).

Almost surely, 2^448011254016 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 448011254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702827274240).

448011254016 is an abundant number, since it is smaller than the sum of its proper divisors (957643294464).

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

448011254016 is an frugal number, since it uses more digits than its factorization.

448011254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 448011254016 in words is "four hundred forty-eight billion, eleven million, two hundred fifty-four thousand, sixteen".