6126561406224 has 960 divisors, whose sum is σ = 22266308198400. Its totient is φ = 1577843712000.

The previous prime is 6126561406223. The next prime is 6126561406249. The reversal of 6126561406224 is 4226041656216.

6126561406224 is a `hidden beast` number, since 6 + 1 + 2 + 6 + 5 + 6 + 14 + 0 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6126561406224.

It is not an unprimeable number, because it can be changed into a prime (6126561406223) 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 191 ways as a sum of consecutive naturals, for example, 2736292497 + ... + 2736294735.

It is an arithmetic number, because the mean of its divisors is an integer number (23194071040).

Almost surely, 2^{6126561406224} 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 6126561406224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11133154099200).

6126561406224 is an abundant number, since it is smaller than the sum of its proper divisors (16139746792176).

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

6126561406224 is a wasteful number, since it uses less digits than its factorization.

6126561406224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2400 counting only the distinct ones).

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

The spelling of 6126561406224 in words is "six trillion, one hundred twenty-six billion, five hundred sixty-one million, four hundred six thousand, two hundred twenty-four".