448678847232 has 648 divisors, whose sum is σ = 1647404478720. Its totient is φ = 116133212160.

The previous prime is 448678847167. The next prime is 448678847251. The reversal of 448678847232 is 232748876844.

It is a happy number.

448678847232 is a `hidden beast` number, since 4 + 4 + 86 + 7 + 88 + 472 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 448678847232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 545174373 + ... + 545175195.

Almost surely, 2^448678847232 is an apocalyptic number.

448678847232 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 448678847232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823702239360).

448678847232 is an abundant number, since it is smaller than the sum of its proper divisors (1198725631488).

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

448678847232 is a wasteful number, since it uses less digits than its factorization.

448678847232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1285 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 63.

The spelling of 448678847232 in words is "four hundred forty-eight billion, six hundred seventy-eight million, eight hundred forty-seven thousand, two hundred thirty-two".