12344555668032 has 168 divisors, whose sum is σ = 40442960877696. Its totient is φ = 3526602153984.

The previous prime is 12344555667889. The next prime is 12344555668033. The reversal of 12344555668032 is 23086655544321.

12344555668032 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 4 + 5 + 556 + 6 + 80 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×12344555668032² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12344555668032.

It is not an unprimeable number, because it can be changed into a prime (12344555668033) 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 23 ways as a sum of consecutive naturals, for example, 35052373 + ... + 35402795.

Almost surely, 2^{12344555668032} is an apocalyptic number.

12344555668032 is a gapful number since it is divisible by the number (12) 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 12344555668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20221480438848).

12344555668032 is an abundant number, since it is smaller than the sum of its proper divisors (28098405209664).

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

12344555668032 is a wasteful number, since it uses less digits than its factorization.

12344555668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359185 (or 359172 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 12344555668032 in words is "twelve trillion, three hundred forty-four billion, five hundred fifty-five million, six hundred sixty-eight thousand, thirty-two".