1446114116441 has 16 divisors (see below), whose sum is σ = 1494143860944. Its totient is φ = 1399107354624.

The previous prime is 1446114116429. The next prime is 1446114116443.

1446114116441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 3893260816 + 1442220855625 = 62396^2 + 1200925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1446114116441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1446114116395 and 1446114116404.

It is not an unprimeable number, because it can be changed into a prime (1446114116443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103496 + ... + 1703801.

It is an arithmetic number, because the mean of its divisors is an integer number (93383991309).

Almost surely, 2^{1446114116441} is an apocalyptic number.

It is an amenable number.

1446114116441 is a deficient number, since it is larger than the sum of its proper divisors (48029744503).

1446114116441 is a wasteful number, since it uses less digits than its factorization.

1446114116441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807580.

The product of its digits is 36864, while the sum is 38.

The spelling of 1446114116441 in words is "one trillion, four hundred forty-six billion, one hundred fourteen million, one hundred sixteen thousand, four hundred forty-one".