448945491456 has 720 divisors, whose sum is σ = 1645002463104. Its totient is φ = 114508800000.

The previous prime is 448945491367. The next prime is 448945491479. The reversal of 448945491456 is 654194549844.

448945491456 is a `hidden beast` number, since 4 + 4 + 8 + 94 + 5 + 4 + 91 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 448945491393 and 448945491402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1788627331 + ... + 1788627581.

Almost surely, 2^448945491456 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 448945491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822501231552).

448945491456 is an abundant number, since it is smaller than the sum of its proper divisors (1196056971648).

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

448945491456 is a wasteful number, since it uses less digits than its factorization.

448945491456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 345 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 448945491456 in words is "four hundred forty-eight billion, nine hundred forty-five million, four hundred ninety-one thousand, four hundred fifty-six".