448625998656 has 280 divisors, whose sum is σ = 1454150934720. Its totient is φ = 135630028800.

The previous prime is 448625998649. The next prime is 448625998657. The reversal of 448625998656 is 656899526844.

448625998656 is a `hidden beast` number, since 4 + 486 + 2 + 5 + 9 + 98 + 6 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448625998657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25024576 + ... + 25042496.

Almost surely, 2^448625998656 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 448625998656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727075467360).

448625998656 is an abundant number, since it is smaller than the sum of its proper divisors (1005524936064).

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

448625998656 is a wasteful number, since it uses less digits than its factorization.

448625998656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18395 (or 18376 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 448625998656 in words is "four hundred forty-eight billion, six hundred twenty-five million, nine hundred ninety-eight thousand, six hundred fifty-six".