448650817707456 has 896 divisors, whose sum is σ = 1656225263616000. Its totient is φ = 115940345131008.

The previous prime is 448650817707437. The next prime is 448650817707473. The reversal of 448650817707456 is 654707718056844.

It is a happy number.

448650817707456 is a `hidden beast` number, since 4 + 4 + 8 + 6 + 508 + 1 + 7 + 70 + 7 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2848154265 + ... + 2848311783.

It is an arithmetic number, because the mean of its divisors is an integer number (1848465696000).

Almost surely, 2^{448650817707456} 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 448650817707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828112631808000).

448650817707456 is an abundant number, since it is smaller than the sum of its proper divisors (1207574445908544).

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

448650817707456 is a wasteful number, since it uses less digits than its factorization.

448650817707456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157926 (or 157910 counting only the distinct ones).

The product of its (nonzero) digits is 1264435200, while the sum is 72.

The spelling of 448650817707456 in words is "four hundred forty-eight trillion, six hundred fifty billion, eight hundred seventeen million, seven hundred seven thousand, four hundred fifty-six".