1134414144311 has 16 divisors (see below), whose sum is σ = 1386327908160. Its totient is φ = 906096652800.

The previous prime is 1134414144287. The next prime is 1134414144337.

1134414144311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1134414144311 - 2¹⁸ = 1134413882167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134414144911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47180516 + ... + 47204553.

It is an arithmetic number, because the mean of its divisors is an integer number (86645494260).

Almost surely, 2^{1134414144311} is an apocalyptic number.

1134414144311 is a deficient number, since it is larger than the sum of its proper divisors (251913763849).

1134414144311 is a wasteful number, since it uses less digits than its factorization.

1134414144311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94385194.

The product of its digits is 9216, while the sum is 32.

The spelling of 1134414144311 in words is "one trillion, one hundred thirty-four billion, four hundred fourteen million, one hundred forty-four thousand, three hundred eleven".