448843659264 has 2304 divisors, whose sum is σ = 1947246013440. Its totient is φ = 99373547520.

The previous prime is 448843659263. The next prime is 448843659283. The reversal of 448843659264 is 462956348844.

It is a happy number.

448843659264 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 4 + 36 + 592 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×448843659264² (a number of 24 digits) contains 22 as substring.

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 (448843659263) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8468748262 + ... + 8468748314.

It is an arithmetic number, because the mean of its divisors is an integer number (845158860).

Almost surely, 2^448843659264 is an apocalyptic number.

448843659264 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 448843659264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973623006720).

448843659264 is an abundant number, since it is smaller than the sum of its proper divisors (1498402354176).

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

448843659264 is a wasteful number, since it uses less digits than its factorization.

448843659264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 448843659264 in words is "four hundred forty-eight billion, eight hundred forty-three million, six hundred fifty-nine thousand, two hundred sixty-four".