448991896608 has 384 divisors, whose sum is σ = 1377289267200. Its totient is φ = 142132838400.

The previous prime is 448991896601. The next prime is 448991896621. The reversal of 448991896608 is 806698199844.

448991896608 is a `hidden beast` number, since 4 + 4 + 8 + 9 + 9 + 1 + 8 + 9 + 6 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (448991896601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329897848 + ... + 329899208.

It is an arithmetic number, because the mean of its divisors is an integer number (3586690800).

Almost surely, 2^448991896608 is an apocalyptic number.

448991896608 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 448991896608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688644633600).

448991896608 is an abundant number, since it is smaller than the sum of its proper divisors (928297370592).

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

448991896608 is a wasteful number, since it uses less digits than its factorization.

448991896608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 448991896608 in words is "four hundred forty-eight billion, nine hundred ninety-one million, eight hundred ninety-six thousand, six hundred eight".