4882643712000 has 2112 divisors, whose sum is σ = 20369593389600. Its totient is φ = 1160950579200.

The previous prime is 4882643711987. The next prime is 4882643712007. The reversal of 4882643712000 is 2173462884.

It is a happy number.

4882643712000 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 6 + 437 + 1 + 200 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4882643712007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 256981247991 + ... + 256981248009.

Almost surely, 2^{4882643712000} is an apocalyptic number.

4882643712000 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 4882643712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184796694800).

4882643712000 is an abundant number, since it is smaller than the sum of its proper divisors (15486949677600).

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

4882643712000 is an frugal number, since it uses more digits than its factorization.

4882643712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4882643712000 in words is "four trillion, eight hundred eighty-two billion, six hundred forty-three million, seven hundred twelve thousand".