12214514379744 has 240 divisors, whose sum is σ = 35990902886400. Its totient is φ = 4063766651136.

The previous prime is 12214514379643. The next prime is 12214514379761. The reversal of 12214514379744 is 44797341541221.

12214514379744 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 514 + 37 + 97 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4332923167 + ... + 4332925985.

It is an arithmetic number, because the mean of its divisors is an integer number (149962095360).

Almost surely, 2^{12214514379744} 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 12214514379744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17995451443200).

12214514379744 is an abundant number, since it is smaller than the sum of its proper divisors (23776388506656).

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

12214514379744 is a wasteful number, since it uses less digits than its factorization.

12214514379744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5410 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 12214514379744 in words is "twelve trillion, two hundred fourteen billion, five hundred fourteen million, three hundred seventy-nine thousand, seven hundred forty-four".