4506454441800 has 288 divisors, whose sum is σ = 16365372192000. Its totient is φ = 1106966845440.

The previous prime is 4506454441799. The next prime is 4506454441823. The reversal of 4506454441800 is 81444546054.

4506454441800 is a `hidden beast` number, since 4 + 5 + 0 + 64 + 544 + 41 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128500 + ... + 3004899.

It is an arithmetic number, because the mean of its divisors is an integer number (56824209000).

Almost surely, 2^{4506454441800} is an apocalyptic number.

4506454441800 is a gapful number since it is divisible by the number (40) 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 4506454441800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182686096000).

4506454441800 is an abundant number, since it is smaller than the sum of its proper divisors (11858917750200).

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

4506454441800 is a wasteful number, since it uses less digits than its factorization.

4506454441800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133485 (or 3133473 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

Adding to 4506454441800 its reverse (81444546054), we get a palindrome (4587898987854).

The spelling of 4506454441800 in words is "four trillion, five hundred six billion, four hundred fifty-four million, four hundred forty-one thousand, eight hundred".