448594053120 has 768 divisors, whose sum is σ = 1652755104000. Its totient is φ = 115341262848.

The previous prime is 448594053073. The next prime is 448594053169. The reversal of 448594053120 is 21350495844.

448594053120 is a `hidden beast` number, since 4 + 4 + 8 + 5 + 94 + 0 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1153197886 + ... + 1153198274.

It is an arithmetic number, because the mean of its divisors is an integer number (2152024875).

Almost surely, 2^448594053120 is an apocalyptic number.

448594053120 is a gapful number since it is divisible by the number (40) 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 448594053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826377552000).

448594053120 is an abundant number, since it is smaller than the sum of its proper divisors (1204161050880).

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

448594053120 is a wasteful number, since it uses less digits than its factorization.

448594053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 448594053120 in words is "four hundred forty-eight billion, five hundred ninety-four million, fifty-three thousand, one hundred twenty".