16832751481728 has 1920 divisors, whose sum is σ = 66058690864320. Its totient is φ = 4142013677568.

The previous prime is 16832751481699. The next prime is 16832751481729. The reversal of 16832751481728 is 82718415723861.

16832751481728 is a `hidden beast` number, since 1 + 6 + 8 + 32 + 7 + 51 + 481 + 72 + 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 not an unprimeable number, because it can be changed into a prime (16832751481729) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24863738926 + ... + 24863739602.

Almost surely, 2^{16832751481728} is an apocalyptic number.

16832751481728 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 16832751481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33029345432160).

16832751481728 is an abundant number, since it is smaller than the sum of its proper divisors (49225939382592).

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

16832751481728 is a wasteful number, since it uses less digits than its factorization.

16832751481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 794 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 16832751481728 in words is "sixteen trillion, eight hundred thirty-two billion, seven hundred fifty-one million, four hundred eighty-one thousand, seven hundred twenty-eight".