448671713684724 has 192 divisors, whose sum is σ = 1209299539230720. Its totient is φ = 143703794407680.

The previous prime is 448671713684713. The next prime is 448671713684743. The reversal of 448671713684724 is 427486317176844.

448671713684724 is a `hidden beast` number, since 4 + 4 + 8 + 6 + 7 + 17 + 136 + 8 + 472 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495483544 + ... + 496388240.

It is an arithmetic number, because the mean of its divisors is an integer number (6298435100160).

Almost surely, 2^{448671713684724} 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 448671713684724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604649769615360).

448671713684724 is an abundant number, since it is smaller than the sum of its proper divisors (760627825545996).

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

448671713684724 is a wasteful number, since it uses less digits than its factorization.

448671713684724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905795 (or 905787 counting only the distinct ones).

The product of its digits is 1213857792, while the sum is 72.

The spelling of 448671713684724 in words is "four hundred forty-eight trillion, six hundred seventy-one billion, seven hundred thirteen million, six hundred eighty-four thousand, seven hundred twenty-four".