1144348434411 has 128 divisors (see below), whose sum is σ = 2068211712000. Its totient is φ = 545515762176.

The previous prime is 1144348434409. The next prime is 1144348434431.

1144348434411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1144348434411 - 2¹ = 1144348434409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1144348434431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45202425 + ... + 45227733.

It is an arithmetic number, because the mean of its divisors is an integer number (16157904000).

Almost surely, 2^{1144348434411} is an apocalyptic number.

1144348434411 is a deficient number, since it is larger than the sum of its proper divisors (923863277589).

1144348434411 is a wasteful number, since it uses less digits than its factorization.

1144348434411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25753.

The product of its digits is 294912, while the sum is 42.

The spelling of 1144348434411 in words is "one trillion, one hundred forty-four billion, three hundred forty-eight million, four hundred thirty-four thousand, four hundred eleven".