12733682172288 has 512 divisors, whose sum is σ = 43515763937280. Its totient is φ = 3202749849600.

The previous prime is 12733682172283. The next prime is 12733682172293. The reversal of 12733682172288 is 88227128633721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12733682172283) and next prime (12733682172293).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12733682172283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230809795 + ... + 230864957.

It is an arithmetic number, because the mean of its divisors is an integer number (84991726440).

Almost surely, 2^{12733682172288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12733682172288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21757881968640).

12733682172288 is an abundant number, since it is smaller than the sum of its proper divisors (30782081764992).

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

12733682172288 is a wasteful number, since it uses less digits than its factorization.

12733682172288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55446 (or 55434 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 60.

The spelling of 12733682172288 in words is "twelve trillion, seven hundred thirty-three billion, six hundred eighty-two million, one hundred seventy-two thousand, two hundred eighty-eight".