448721854963200 has 7200 divisors, whose sum is σ = 2176507385236800. Its totient is φ = 90714193920000.

The previous prime is 448721854963177. The next prime is 448721854963201. The reversal of 448721854963200 is 2369458127844.

448721854963200 is a `hidden beast` number, since 4 + 4 + 8 + 7 + 2 + 1 + 8 + 549 + 63 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448721854963201) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 4442790643150 + ... + 4442790643250.

It is an arithmetic number, because the mean of its divisors is an integer number (302292692394).

It is a 1-persistent number, because it is pandigital, but 2⋅448721854963200 = 897443709926400 is not.

Almost surely, 2^{448721854963200} is an apocalyptic number.

448721854963200 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 448721854963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088253692618400).

448721854963200 is an abundant number, since it is smaller than the sum of its proper divisors (1727785530273600).

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

448721854963200 is a wasteful number, since it uses less digits than its factorization.

448721854963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 448721854963200 in words is "four hundred forty-eight trillion, seven hundred twenty-one billion, eight hundred fifty-four million, nine hundred sixty-three thousand, two hundred".