448871995353600 has 11520 divisors, whose sum is σ = 2329958433116160. Its totient is φ = 83473779916800.

The previous prime is 448871995353571. The next prime is 448871995353647. The reversal of 448871995353600 is 6353599178844.

448871995353600 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 7 + 1 + 9 + 9 + 5 + 3 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 6148931443164 + ... + 6148931443236.

It is an arithmetic number, because the mean of its divisors is an integer number (202253336208).

Almost surely, 2^{448871995353600} is an apocalyptic number.

448871995353600 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 448871995353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164979216558080).

448871995353600 is an abundant number, since it is smaller than the sum of its proper divisors (1881086437762560).

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

448871995353600 is a wasteful number, since it uses less digits than its factorization.

448871995353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 448871995353600 in words is "four hundred forty-eight trillion, eight hundred seventy-one billion, nine hundred ninety-five million, three hundred fifty-three thousand, six hundred".