12832558353216 has 2016 divisors, whose sum is σ = 48199397794560. Its totient is φ = 3377640591360.

The previous prime is 12832558353149. The next prime is 12832558353253. The reversal of 12832558353216 is 61235385523821.

It is a happy number.

12832558353216 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 2 + 5 + 583 + 53 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 175788470556 + ... + 175788470628.

Almost surely, 2^{12832558353216} is an apocalyptic number.

12832558353216 is a gapful number since it is divisible by the number (16) 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 12832558353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24099698897280).

12832558353216 is an abundant number, since it is smaller than the sum of its proper divisors (35366839441344).

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

12832558353216 is an frugal number, since it uses more digits than its factorization.

12832558353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 175 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 12832558353216 in words is "twelve trillion, eight hundred thirty-two billion, five hundred fifty-eight million, three hundred fifty-three thousand, two hundred sixteen".