448340960193984 has 336 divisors, whose sum is σ = 1517340978316800. Its totient is φ = 124779852933120.

The previous prime is 448340960193901. The next prime is 448340960194003. The reversal of 448340960193984 is 489391069043844.

It is a happy number.

448340960193984 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 4 + 0 + 9 + 601 + 9 + 3 + 9 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2714989 + ... + 30067475.

It is an arithmetic number, because the mean of its divisors is an integer number (4515895768800).

Almost surely, 2^{448340960193984} is an apocalyptic number.

448340960193984 is a gapful number since it is divisible by the number (44) 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 448340960193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758670489158400).

448340960193984 is an abundant number, since it is smaller than the sum of its proper divisors (1069000018122816).

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

448340960193984 is a wasteful number, since it uses less digits than its factorization.

448340960193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27352728 (or 27352715 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 448340960193984 in words is "four hundred forty-eight trillion, three hundred forty billion, nine hundred sixty million, one hundred ninety-three thousand, nine hundred eighty-four".