448491064320 has 1188 divisors, whose sum is σ = 1769495251680. Its totient is φ = 109000359936.

The previous prime is 448491064319. The next prime is 448491064381. The reversal of 448491064320 is 23460194844.

448491064320 is a `hidden beast` number, since 4 + 484 + 9 + 106 + 43 + 20 = 666.

It is a super-2 number, since 2×448491064320² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5677102041 + ... + 5677102119.

Almost surely, 2^448491064320 is an apocalyptic number.

448491064320 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 448491064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884747625840).

448491064320 is an abundant number, since it is smaller than the sum of its proper divisors (1321004187360).

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

448491064320 is an frugal number, since it uses more digits than its factorization.

448491064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 448491064320 in words is "four hundred forty-eight billion, four hundred ninety-one million, sixty-four thousand, three hundred twenty".