448222116200 has 48 divisors (see below), whose sum is σ = 1051338742380. Its totient is φ = 177702210560.

The previous prime is 448222116191. The next prime is 448222116203. The reversal of 448222116200 is 2611222844.

It can be written as a sum of positive squares in 6 ways, for example, as 123894144196 + 324327972004 = 351986^2 + 569498^2 .

It is not an unprimeable number, because it can be changed into a prime (448222116203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9893819 + ... + 9939018.

Almost surely, 2^448222116200 is an apocalyptic number.

448222116200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448222116200 is an abundant number, since it is smaller than the sum of its proper divisors (603116626180).

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

448222116200 is a wasteful number, since it uses less digits than its factorization.

448222116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19832966 (or 19832957 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 448222116200 in words is "four hundred forty-eight billion, two hundred twenty-two million, one hundred sixteen thousand, two hundred".