12134649282624 has 224 divisors, whose sum is σ = 38919758868480. Its totient is φ = 3676875379200.

The previous prime is 12134649282577. The next prime is 12134649282631. The reversal of 12134649282624 is 42628294643121.

12134649282624 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 6 + 4 + 9 + 2 + 8 + 2 + 624 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477297177 + ... + 477322599.

It is an arithmetic number, because the mean of its divisors is an integer number (173748923520).

Almost surely, 2^{12134649282624} 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 12134649282624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459879434240).

12134649282624 is an abundant number, since it is smaller than the sum of its proper divisors (26785109585856).

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

12134649282624 is a wasteful number, since it uses less digits than its factorization.

12134649282624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50566 (or 50550 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 12134649282624 in words is "twelve trillion, one hundred thirty-four billion, six hundred forty-nine million, two hundred eighty-two thousand, six hundred twenty-four".