448588352448 has 840 divisors, whose sum is σ = 1482102893040. Its totient is φ = 134010961920.

The previous prime is 448588352447. The next prime is 448588352473. The reversal of 448588352448 is 844253885844.

It is a happy number.

448588352448 is a `hidden beast` number, since 4 + 4 + 8 + 588 + 3 + 5 + 2 + 4 + 48 = 666.

It is a super-2 number, since 2×448588352448² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448588352447) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4115489418 + ... + 4115489526.

It is an arithmetic number, because the mean of its divisors is an integer number (1764408206).

Almost surely, 2^448588352448 is an apocalyptic number.

448588352448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448588352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741051446520).

448588352448 is an abundant number, since it is smaller than the sum of its proper divisors (1033514540592).

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

448588352448 is a wasteful number, since it uses less digits than its factorization.

448588352448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 239 counting only the distinct ones).

The product of its digits is 157286400, while the sum is 63.

The spelling of 448588352448 in words is "four hundred forty-eight billion, five hundred eighty-eight million, three hundred fifty-two thousand, four hundred forty-eight".