448718887512 has 384 divisors, whose sum is σ = 1471275187200. Its totient is φ = 125463955968.

The previous prime is 448718887511. The next prime is 448718887567. The reversal of 448718887512 is 215788817844.

448718887512 is a `hidden beast` number, since 4 + 48 + 71 + 8 + 8 + 8 + 7 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 448718887512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448718887511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488268189 + ... + 488269107.

It is an arithmetic number, because the mean of its divisors is an integer number (3831445800).

Almost surely, 2^448718887512 is an apocalyptic number.

448718887512 is a gapful number since it is divisible by the number (42) 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 448718887512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735637593600).

448718887512 is an abundant number, since it is smaller than the sum of its proper divisors (1022556299688).

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

448718887512 is a wasteful number, since it uses less digits than its factorization.

448718887512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1661 counting only the distinct ones).

The product of its digits is 32112640, while the sum is 63.

The spelling of 448718887512 in words is "four hundred forty-eight billion, seven hundred eighteen million, eight hundred eighty-seven thousand, five hundred twelve".