11111081444144 has 80 divisors (see below), whose sum is σ = 23633270707200. Its totient is φ = 5018642254080.

The previous prime is 11111081444101. The next prime is 11111081444153. The reversal of 11111081444144 is 44144418011111.

It is a super-2 number, since 2×11111081444144² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21209882 + ... + 21727430.

It is an arithmetic number, because the mean of its divisors is an integer number (295415883840).

Almost surely, 2^{11111081444144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111081444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11816635353600).

11111081444144 is an abundant number, since it is smaller than the sum of its proper divisors (12522189263056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11111081444144 is a wasteful number, since it uses less digits than its factorization.

11111081444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518338 (or 518332 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

Adding to 11111081444144 its reverse (44144418011111), we get a palindrome (55255499455255).

The spelling of 11111081444144 in words is "eleven trillion, one hundred eleven billion, eighty-one million, four hundred forty-four thousand, one hundred forty-four".