11115244251111 has 64 divisors (see below), whose sum is σ = 19903871877120. Its totient is φ = 5328580256640.

The previous prime is 11115244251077. The next prime is 11115244251203.

11115244251111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11115244251111 - 2⁹ = 11115244250599 is a prime.

It is a super-2 number, since 2×11115244251111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11115244651111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10933770 + ... + 11907048.

It is an arithmetic number, because the mean of its divisors is an integer number (310997998080).

Almost surely, 2^{11115244251111} is an apocalyptic number.

11115244251111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11115244251111 is a deficient number, since it is larger than the sum of its proper divisors (8788627626009).

11115244251111 is a wasteful number, since it uses less digits than its factorization.

11115244251111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977116.

The product of its digits is 1600, while the sum is 30.

It can be divided in two parts, 1111524 and 4251111, that added together give a palindrome (5362635).

The spelling of 11115244251111 in words is "eleven trillion, one hundred fifteen billion, two hundred forty-four million, two hundred fifty-one thousand, one hundred eleven".