450434542134544 has 160 divisors (see below), whose sum is σ = 1012551508805760. Its totient is φ = 191956569292800.

The previous prime is 450434542134529. The next prime is 450434542134557. The reversal of 450434542134544 is 445431245434054.

It is a junction number, because it is equal to n+sod(n) for n = 450434542134491 and 450434542134500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8875007472 + ... + 8875058224.

It is an arithmetic number, because the mean of its divisors is an integer number (6328446930036).

Almost surely, 2^{450434542134544} is an apocalyptic number.

450434542134544 is a gapful number since it is divisible by the number (44) 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 450434542134544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506275754402880).

450434542134544 is an abundant number, since it is smaller than the sum of its proper divisors (562116966671216).

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

450434542134544 is a wasteful number, since it uses less digits than its factorization.

450434542134544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78249 (or 78243 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 52.

Adding to 450434542134544 its reverse (445431245434054), we get a palindrome (895865787568598).

The spelling of 450434542134544 in words is "four hundred fifty trillion, four hundred thirty-four billion, five hundred forty-two million, one hundred thirty-four thousand, five hundred forty-four".