482247143191800 has 768 divisors, whose sum is σ = 2027180252160000. Its totient is φ = 102993820876800.

The previous prime is 482247143191799. The next prime is 482247143191859. The reversal of 482247143191800 is 8191341742284.

It is a happy number.

482247143191800 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 47 + 1 + 431 + 91 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26886616 + ... + 41077784.

It is an arithmetic number, because the mean of its divisors is an integer number (2639557620000).

Almost surely, 2^{482247143191800} is an apocalyptic number.

482247143191800 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 482247143191800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013590126080000).

482247143191800 is an abundant number, since it is smaller than the sum of its proper divisors (1544933108968200).

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

482247143191800 is a wasteful number, since it uses less digits than its factorization.

482247143191800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14191261 (or 14191246 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 482247143191800 in words is "four hundred eighty-two trillion, two hundred forty-seven billion, one hundred forty-three million, one hundred ninety-one thousand, eight hundred".