1134446444311 has 16 divisors (see below), whose sum is σ = 1235016332928. Its totient is φ = 1037828505600.

The previous prime is 1134446444269. The next prime is 1134446444353.

1134446444311 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1134446444269) and next prime (1134446444353).

It is a cyclic number.

It is not a de Polignac number, because 1134446444311 - 2²³ = 1134438055703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134446444371) 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, 2814090 + ... + 3191863.

It is an arithmetic number, because the mean of its divisors is an integer number (77188520808).

Almost surely, 2^{1134446444311} is an apocalyptic number.

1134446444311 is a deficient number, since it is larger than the sum of its proper divisors (100569888617).

1134446444311 is a wasteful number, since it uses less digits than its factorization.

1134446444311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006282.

The product of its digits is 221184, while the sum is 40.

The spelling of 1134446444311 in words is "one trillion, one hundred thirty-four billion, four hundred forty-six million, four hundred forty-four thousand, three hundred eleven".