448519367808 has 384 divisors, whose sum is σ = 1395075052800. Its totient is φ = 137807953920.

The previous prime is 448519367801. The next prime is 448519367837. The reversal of 448519367808 is 808763915844.

448519367808 is a `hidden beast` number, since 4 + 4 + 8 + 519 + 36 + 7 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (448519367801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202673710 + ... + 202675922.

It is an arithmetic number, because the mean of its divisors is an integer number (3633007950).

Almost surely, 2^448519367808 is an apocalyptic number.

448519367808 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 448519367808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697537526400).

448519367808 is an abundant number, since it is smaller than the sum of its proper divisors (946555684992).

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

448519367808 is a wasteful number, since it uses less digits than its factorization.

448519367808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 448519367808 in words is "four hundred forty-eight billion, five hundred nineteen million, three hundred sixty-seven thousand, eight hundred eight".