450213323112 has 192 divisors, whose sum is σ = 1403152558080. Its totient is φ = 127746118656.

The previous prime is 450213323093. The next prime is 450213323129. The reversal of 450213323112 is 211323312054.

450213323112 is a `hidden beast` number, since 4 + 502 + 13 + 32 + 3 + 112 = 666.

It is a super-2 number, since 2×450213323112² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 43692153 + ... + 43702455.

It is an arithmetic number, because the mean of its divisors is an integer number (7308086240).

Almost surely, 2^450213323112 is an apocalyptic number.

450213323112 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 450213323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701576279040).

450213323112 is an abundant number, since it is smaller than the sum of its proper divisors (952939234968).

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

450213323112 is a wasteful number, since it uses less digits than its factorization.

450213323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912 (or 10905 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 450213323112 its reverse (211323312054), we get a palindrome (661536635166).

The spelling of 450213323112 in words is "four hundred fifty billion, two hundred thirteen million, three hundred twenty-three thousand, one hundred twelve".