12144403344951 has 24 divisors (see below), whose sum is σ = 18357359080320. Its totient is φ = 7721939415696.

The previous prime is 12144403344919. The next prime is 12144403345033. The reversal of 12144403344951 is 15944330444121.

12144403344951 is a `hidden beast` number, since 1 + 214 + 4 + 4 + 0 + 3 + 344 + 95 + 1 = 666.

It is not a de Polignac number, because 12144403344951 - 2⁵ = 12144403344919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12144403344897 and 12144403344906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144402344951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84465081 + ... + 84608738.

It is an arithmetic number, because the mean of its divisors is an integer number (764889961680).

Almost surely, 2^{12144403344951} is an apocalyptic number.

12144403344951 is a deficient number, since it is larger than the sum of its proper divisors (6212955735369).

12144403344951 is a wasteful number, since it uses less digits than its factorization.

12144403344951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169074195 (or 169074192 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 12144403344951 in words is "twelve trillion, one hundred forty-four billion, four hundred three million, three hundred forty-four thousand, nine hundred fifty-one".