448967414896 has 240 divisors, whose sum is σ = 1216458891648. Its totient is φ = 157710067200.

The previous prime is 448967414893. The next prime is 448967414897. The reversal of 448967414896 is 698414769844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448967414893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4774251 + ... + 4867381.

Almost surely, 2^448967414896 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 448967414896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608229445824).

448967414896 is an abundant number, since it is smaller than the sum of its proper divisors (767491476752).

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

448967414896 is a wasteful number, since it uses less digits than its factorization.

448967414896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93220 (or 93207 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 70.

The spelling of 448967414896 in words is "four hundred forty-eight billion, nine hundred sixty-seven million, four hundred fourteen thousand, eight hundred ninety-six".