450144134244 has 192 divisors, whose sum is σ = 1380100915200. Its totient is φ = 124164057600.

The previous prime is 450144134239. The next prime is 450144134249. The reversal of 450144134244 is 442431441054.

It is an interprime number because it is at equal distance from previous prime (450144134239) and next prime (450144134249).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450144134199 and 450144134208.

It is not an unprimeable number, because it can be changed into a prime (450144134249) 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 63 ways as a sum of consecutive naturals, for example, 9796764 + ... + 9842604.

It is an arithmetic number, because the mean of its divisors is an integer number (7188025600).

Almost surely, 2^450144134244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450144134244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690050457600).

450144134244 is an abundant number, since it is smaller than the sum of its proper divisors (929956780956).

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

450144134244 is a wasteful number, since it uses less digits than its factorization.

450144134244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46311 (or 46303 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 450144134244 its reverse (442431441054), we get a palindrome (892575575298).

The spelling of 450144134244 in words is "four hundred fifty billion, one hundred forty-four million, one hundred thirty-four thousand, two hundred forty-four".