450144125505 has 36 divisors (see below), whose sum is σ = 798817294548. Its totient is φ = 234493640640.

The previous prime is 450144125477. The next prime is 450144125513. The reversal of 450144125505 is 505521441054.

450144125505 is a `hidden beast` number, since 4 + 5 + 0 + 144 + 1 + 2 + 5 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49287996081 + 400856129424 = 222009^2 + 633132^2 .

It is not a de Polignac number, because 450144125505 - 2¹⁵ = 450144092737 is a prime.

It is a super-2 number, since 2×450144125505² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450144125505.

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 35 ways as a sum of consecutive naturals, for example, 2621826 + ... + 2788235.

It is an arithmetic number, because the mean of its divisors is an integer number (22189369293).

Almost surely, 2^450144125505 is an apocalyptic number.

450144125505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450144125505 is a deficient number, since it is larger than the sum of its proper divisors (348673169043).

450144125505 is a wasteful number, since it uses less digits than its factorization.

450144125505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410158 (or 5410112 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 450144125505 its reverse (505521441054), we get a palindrome (955665566559).

The spelling of 450144125505 in words is "four hundred fifty billion, one hundred forty-four million, one hundred twenty-five thousand, five hundred five".