448993359360 has 2880 divisors, whose sum is σ = 2206969459200. Its totient is φ = 84467515392.

The previous prime is 448993359323. The next prime is 448993359371. The reversal of 448993359360 is 63953399844.

448993359360 is a `hidden beast` number, since 4 + 4 + 8 + 9 + 9 + 33 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23631229431 + ... + 23631229449.

It is an arithmetic number, because the mean of its divisors is an integer number (766308840).

Almost surely, 2^448993359360 is an apocalyptic number.

448993359360 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 448993359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103484729600).

448993359360 is an abundant number, since it is smaller than the sum of its proper divisors (1757976099840).

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

448993359360 is a wasteful number, since it uses less digits than its factorization.

448993359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 448993359360 in words is "four hundred forty-eight billion, nine hundred ninety-three million, three hundred fifty-nine thousand, three hundred sixty".