448645841280 has 1536 divisors, whose sum is σ = 2083663180800. Its totient is φ = 89022136320.

The previous prime is 448645841239. The next prime is 448645841291. The reversal of 448645841280 is 82148546844.

448645841280 is a `hidden beast` number, since 4 + 48 + 6 + 4 + 584 + 12 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 347517435 + ... + 347518725.

It is an arithmetic number, because the mean of its divisors is an integer number (1356551550).

Almost surely, 2^448645841280 is an apocalyptic number.

448645841280 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 448645841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041831590400).

448645841280 is an abundant number, since it is smaller than the sum of its proper divisors (1635017339520).

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

448645841280 is a wasteful number, since it uses less digits than its factorization.

448645841280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 448645841280 in words is "four hundred forty-eight billion, six hundred forty-five million, eight hundred forty-one thousand, two hundred eighty".