12832758704416 has 144 divisors (see below), whose sum is σ = 30939271725600. Its totient is φ = 5209761328128.

The previous prime is 12832758704387. The next prime is 12832758704443. The reversal of 12832758704416 is 61440785723821.

It is a happy number.

It is a super-2 number, since 2×12832758704416² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 439328020 + ... + 439357228.

It is an arithmetic number, because the mean of its divisors is an integer number (214856053650).

Almost surely, 2^{12832758704416} is an apocalyptic number.

12832758704416 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 12832758704416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15469635862800).

12832758704416 is an abundant number, since it is smaller than the sum of its proper divisors (18106513021184).

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

12832758704416 is a wasteful number, since it uses less digits than its factorization.

12832758704416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43999 (or 43984 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 12832758704416 in words is "twelve trillion, eight hundred thirty-two billion, seven hundred fifty-eight million, seven hundred four thousand, four hundred sixteen".