448324836544100 has 72 divisors (see below), whose sum is σ = 981817344954600. Its totient is φ = 177679804262400.

The previous prime is 448324836544049. The next prime is 448324836544111. The reversal of 448324836544100 is 1445638423844.

It can be written as a sum of positive squares in 12 ways, for example, as 12836971768384 + 435487864775716 = 3582872^2 + 20868346^2 .

It is a super-3 number, since 3×448324836544100³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408081530 + ... + 409178670.

Almost surely, 2^{448324836544100} is an apocalyptic number.

It is an amenable number.

448324836544100 is an abundant number, since it is smaller than the sum of its proper divisors (533492508410500).

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

448324836544100 is a wasteful number, since it uses less digits than its factorization.

448324836544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134753 (or 1134746 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 56.

The spelling of 448324836544100 in words is "four hundred forty-eight trillion, three hundred twenty-four billion, eight hundred thirty-six million, five hundred forty-four thousand, one hundred".