4506447052800 has 2856 divisors, whose sum is σ = 21317177726400. Its totient is φ = 936404582400.

The previous prime is 4506447052781. The next prime is 4506447052819. The reversal of 4506447052800 is 82507446054.

4506447052800 is a `hidden beast` number, since 4 + 50 + 6 + 4 + 4 + 70 + 528 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4506447052781) and next prime (4506447052819).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 409677004795 + ... + 409677004805.

Almost surely, 2^{4506447052800} is an apocalyptic number.

4506447052800 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 4506447052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10658588863200).

4506447052800 is an abundant number, since it is smaller than the sum of its proper divisors (16810730673600).

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

4506447052800 is an frugal number, since it uses more digits than its factorization.

4506447052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 4506447052800 in words is "four trillion, five hundred six billion, four hundred forty-seven million, fifty-two thousand, eight hundred".