483891148800 has 1728 divisors, whose sum is σ = 1996184736000. Its totient is φ = 115617300480.

The previous prime is 483891148799. The next prime is 483891148801. The reversal of 483891148800 is 8841198384.

483891148800 is a `hidden beast` number, since 4 + 83 + 89 + 1 + 1 + 488 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (483891148799) and next prime (483891148801).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483891148801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5436979156 + ... + 5436979244.

It is an arithmetic number, because the mean of its divisors is an integer number (1155199500).

Almost surely, 2^483891148800 is an apocalyptic number.

483891148800 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 483891148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998092368000).

483891148800 is an abundant number, since it is smaller than the sum of its proper divisors (1512293587200).

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

483891148800 is a wasteful number, since it uses less digits than its factorization.

483891148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 483891148800 in words is "four hundred eighty-three billion, eight hundred ninety-one million, one hundred forty-eight thousand, eight hundred".