12834680832288 has 384 divisors, whose sum is σ = 43972310592000. Its totient is φ = 3566399569920.

The previous prime is 12834680832283. The next prime is 12834680832313. The reversal of 12834680832288 is 88223808643821.

12834680832288 is a `hidden beast` number, since 1 + 2 + 8 + 346 + 8 + 0 + 8 + 3 + 2 + 288 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12834680832283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32639148 + ... + 33030036.

It is an arithmetic number, because the mean of its divisors is an integer number (114511225500).

Almost surely, 2^{12834680832288} is an apocalyptic number.

12834680832288 is a gapful number since it is divisible by the number (18) 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 12834680832288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986155296000).

12834680832288 is an abundant number, since it is smaller than the sum of its proper divisors (31137629759712).

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

12834680832288 is a wasteful number, since it uses less digits than its factorization.

12834680832288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391065 (or 391051 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 12834680832288 in words is "twelve trillion, eight hundred thirty-four billion, six hundred eighty million, eight hundred thirty-two thousand, two hundred eighty-eight".