448319796288 has 896 divisors, whose sum is σ = 1628117729280. Its totient is φ = 105508085760.

The previous prime is 448319796283. The next prime is 448319796289. The reversal of 448319796288 is 882697913844.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (448319796283) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 542103331 + ... + 542104157.

It is an arithmetic number, because the mean of its divisors is an integer number (1817095680).

Almost surely, 2^448319796288 is an apocalyptic number.

448319796288 is a gapful number since it is divisible by the number (48) 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 448319796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814058864640).

448319796288 is an abundant number, since it is smaller than the sum of its proper divisors (1179797932992).

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

448319796288 is a wasteful number, since it uses less digits than its factorization.

448319796288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 965 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 69.

The spelling of 448319796288 in words is "four hundred forty-eight billion, three hundred nineteen million, seven hundred ninety-six thousand, two hundred eighty-eight".