448980686336 has 320 divisors, whose sum is σ = 1173767874048. Its totient is φ = 166496698368.

The previous prime is 448980686281. The next prime is 448980686351. The reversal of 448980686336 is 633686089844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224153111 + ... + 224155113.

Almost surely, 2^448980686336 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 448980686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586883937024).

448980686336 is an abundant number, since it is smaller than the sum of its proper divisors (724787187712).

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

448980686336 is a wasteful number, since it uses less digits than its factorization.

448980686336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 65.

The spelling of 448980686336 in words is "four hundred forty-eight billion, nine hundred eighty million, six hundred eighty-six thousand, three hundred thirty-six".