12304344402144 has 288 divisors, whose sum is σ = 37219840205184. Its totient is φ = 3842401812480.

The previous prime is 12304344402101. The next prime is 12304344402151. The reversal of 12304344402144 is 44120444340321.

12304344402144 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 434 + 4 + 4 + 0 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12304344402099 and 12304344402108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954336562 + ... + 954349454.

It is an arithmetic number, because the mean of its divisors is an integer number (129235556268).

Almost surely, 2^{12304344402144} 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 12304344402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18609920102592).

12304344402144 is an abundant number, since it is smaller than the sum of its proper divisors (24915495803040).

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

12304344402144 is a wasteful number, since it uses less digits than its factorization.

12304344402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13810 (or 13799 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12304344402144 its reverse (44120444340321), we get a palindrome (56424788742465).

The spelling of 12304344402144 in words is "twelve trillion, three hundred four billion, three hundred forty-four million, four hundred two thousand, one hundred forty-four".