448889424616512 has 672 divisors, whose sum is σ = 1464335500852224. Its totient is φ = 135213529651200.

The previous prime is 448889424616489. The next prime is 448889424616531. The reversal of 448889424616512 is 215616424988844.

448889424616512 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 8 + 9 + 42 + 4 + 61 + 6 + 512 = 666.

It is a super-2 number, since 2×448889424616512² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41216542587 + ... + 41216553477.

It is an arithmetic number, because the mean of its divisors is an integer number (2179070685792).

Almost surely, 2^{448889424616512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448889424616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732167750426112).

448889424616512 is an abundant number, since it is smaller than the sum of its proper divisors (1015446076235712).

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

448889424616512 is a wasteful number, since it uses less digits than its factorization.

448889424616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12349 (or 12327 counting only the distinct ones).

The product of its digits is 849346560, while the sum is 72.

The spelling of 448889424616512 in words is "four hundred forty-eight trillion, eight hundred eighty-nine billion, four hundred twenty-four million, six hundred sixteen thousand, five hundred twelve".