11114666641111 has 32 divisors (see below), whose sum is σ = 12531278785536. Its totient is φ = 9770512896000.

The previous prime is 11114666641093. The next prime is 11114666641129.

11114666641111 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (11114666641093) and next prime (11114666641129).

It is a cyclic number.

It is not a de Polignac number, because 11114666641111 - 2¹⁷ = 11114666510039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114666641711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23353060 + ... + 23824246.

It is an arithmetic number, because the mean of its divisors is an integer number (391602462048).

Almost surely, 2^{11114666641111} is an apocalyptic number.

11114666641111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11114666641111 is a deficient number, since it is larger than the sum of its proper divisors (1416612144425).

11114666641111 is a wasteful number, since it uses less digits than its factorization.

11114666641111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471703.

The product of its digits is 20736, while the sum is 40.

It can be divided in two parts, 1111466 and 6641111, that added together give a palindrome (7752577).

The spelling of 11114666641111 in words is "eleven trillion, one hundred fourteen billion, six hundred sixty-six million, six hundred forty-one thousand, one hundred eleven".