448112583072 has 1152 divisors, whose sum is σ = 1704256339968. Its totient is φ = 112478284800.

The previous prime is 448112582999. The next prime is 448112583137. The reversal of 448112583072 is 270385211844.

448112583072 is a `hidden beast` number, since 4 + 481 + 1 + 25 + 83 + 0 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3528445473 + ... + 3528445599.

It is an arithmetic number, because the mean of its divisors is an integer number (1479389184).

Almost surely, 2^448112583072 is an apocalyptic number.

448112583072 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 448112583072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852128169984).

448112583072 is an abundant number, since it is smaller than the sum of its proper divisors (1256143756896).

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

448112583072 is a wasteful number, since it uses less digits than its factorization.

448112583072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 448112583072 in words is "four hundred forty-eight billion, one hundred twelve million, five hundred eighty-three thousand, seventy-two".