482102132209152 has 640 divisors, whose sum is σ = 1639937287296000. Its totient is φ = 122411290853376.

The previous prime is 482102132209151. The next prime is 482102132209163. The reversal of 482102132209152 is 251902231201284.

It is a super-2 number, since 2×482102132209152² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482102132209151) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1414502503 + ... + 1414843289.

It is an arithmetic number, because the mean of its divisors is an integer number (2562402011400).

Almost surely, 2^{482102132209152} is an apocalyptic number.

482102132209152 is a gapful number since it is divisible by the number (42) 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 482102132209152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819968643648000).

482102132209152 is an abundant number, since it is smaller than the sum of its proper divisors (1157835155086848).

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

482102132209152 is a wasteful number, since it uses less digits than its factorization.

482102132209152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341206 (or 341190 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 482102132209152 in words is "four hundred eighty-two trillion, one hundred two billion, one hundred thirty-two million, two hundred nine thousand, one hundred fifty-two".