450351133544 has 128 divisors (see below), whose sum is σ = 927183348000. Its totient is φ = 203829018624.

The previous prime is 450351133501. The next prime is 450351133663. The reversal of 450351133544 is 445331153054.

It can be written as a sum of positive squares in 16 ways, for example, as 5278022500 + 445073111044 = 72650^2 + 667138^2 .

It is a super-2 number, since 2×450351133544² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450351133498 and 450351133507.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1101102812 + ... + 1101103220.

Almost surely, 2^450351133544 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 450351133544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463591674000).

450351133544 is an abundant number, since it is smaller than the sum of its proper divisors (476832214456).

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

450351133544 is a wasteful number, since it uses less digits than its factorization.

450351133544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 450351133544 its reverse (445331153054), we get a palindrome (895682286598).

The spelling of 450351133544 in words is "four hundred fifty billion, three hundred fifty-one million, one hundred thirty-three thousand, five hundred forty-four".