482306418736128 has 330 divisors, whose sum is σ = 1624660940004024. Its totient is φ = 137801827602432.

The previous prime is 482306418736117. The next prime is 482306418736133. The reversal of 482306418736128 is 821637814603284.

482306418736128 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 0 + 6 + 4 + 1 + 8 + 7 + 3 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11229325 + ... + 33025907.

Almost surely, 2^{482306418736128} is an apocalyptic number.

482306418736128 is a gapful number since it is divisible by the number (48) 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 482306418736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812330470002012).

482306418736128 is an abundant number, since it is smaller than the sum of its proper divisors (1142354521267896).

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

482306418736128 is an equidigital number, since it uses as much as digits as its factorization.

482306418736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21796637 (or 21796595 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 482306418736128 in words is "four hundred eighty-two trillion, three hundred six billion, four hundred eighteen million, seven hundred thirty-six thousand, one hundred twenty-eight".