483193919116800 has 480 divisors, whose sum is σ = 1802631345593760. Its totient is φ = 126739383091200.

The previous prime is 483193919116789. The next prime is 483193919116829. The reversal of 483193919116800 is 8611919391384.

483193919116800 is a `hidden beast` number, since 4 + 83 + 1 + 9 + 391 + 9 + 1 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9621514 + ... + 32541686.

It is an arithmetic number, because the mean of its divisors is an integer number (3755481969987).

Almost surely, 2^{483193919116800} is an apocalyptic number.

483193919116800 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 483193919116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901315672796880).

483193919116800 is an abundant number, since it is smaller than the sum of its proper divisors (1319437426476960).

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

483193919116800 is a wasteful number, since it uses less digits than its factorization.

483193919116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22920271 (or 22920244 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 483193919116800 in words is "four hundred eighty-three trillion, one hundred ninety-three billion, nine hundred nineteen million, one hundred sixteen thousand, eight hundred".