483183820800 has 288 divisors, whose sum is σ = 1730871819885. Its totient is φ = 128849018880.

The previous prime is 483183820789. The next prime is 483183820831. The reversal of 483183820800 is 8028381384.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (5!)² ⋅ (2!)²⁵.

483183820800 is a `hidden beast` number, since 483 + 18 + 3 + 82 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 473520144384 + 9663676416 = 688128^2 + 98304^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=491520.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96636764158 + ... + 96636764162.

Almost surely, 2^483183820800 is an apocalyptic number.

483183820800 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 483183820800

483183820800 is an abundant number, since it is smaller than the sum of its proper divisors (1247687999085).

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

483183820800 is an frugal number, since it uses more digits than its factorization.

483183820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

483183820800 divided by its product of nonzero digits (294912) gives a square (1638400 = 1280²).

The spelling of 483183820800 in words is "four hundred eighty-three billion, one hundred eighty-three million, eight hundred twenty thousand, eight hundred".