448221484656 has 400 divisors, whose sum is σ = 1479243759840. Its totient is φ = 129777500160.

The previous prime is 448221484649. The next prime is 448221484657. The reversal of 448221484656 is 656484122844.

448221484656 is a `hidden beast` number, since 4 + 4 + 82 + 21 + 484 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448221484657) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40096540 + ... + 40107716.

Almost surely, 2^448221484656 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 448221484656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739621879920).

448221484656 is an abundant number, since it is smaller than the sum of its proper divisors (1031022275184).

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

448221484656 is a wasteful number, since it uses less digits than its factorization.

448221484656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11334 (or 11319 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 448221484656 in words is "four hundred forty-eight billion, two hundred twenty-one million, four hundred eighty-four thousand, six hundred fifty-six".