2244460646016 has 192 divisors, whose sum is σ = 6534455733000. Its totient is φ = 739383017472.

The previous prime is 2244460646011. The next prime is 2244460646237. The reversal of 2244460646016 is 6106460644422.

2244460646016 is a `hidden beast` number, since 2 + 24 + 4 + 4 + 606 + 4 + 6 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1544293348416 + 700167297600 = 1242696^2 + 836760^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2244460646011) 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, 278154430 + ... + 278162498.

Almost surely, 2^{2244460646016} 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 2244460646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267227866500).

2244460646016 is an abundant number, since it is smaller than the sum of its proper divisors (4289995086984).

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

2244460646016 is a wasteful number, since it uses less digits than its factorization.

2244460646016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 2244460646016 in words is "two trillion, two hundred forty-four billion, four hundred sixty million, six hundred forty-six thousand, sixteen".