11111167662 has 128 divisors (see below), whose sum is σ = 27202560000. Its totient is φ = 2955284352.

The previous prime is 11111167651. The next prime is 11111167663. The reversal of 11111167662 is 26676111111.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111167663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12090039 + ... + 12090957.

It is an arithmetic number, because the mean of its divisors is an integer number (212520000).

Almost surely, 2^11111167662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111167662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601280000).

11111167662 is an abundant number, since it is smaller than the sum of its proper divisors (16091392338).

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

11111167662 is a wasteful number, since it uses less digits than its factorization.

11111167662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198.

The product of its digits is 3024, while the sum is 33.

Adding to 11111167662 its reverse (26676111111), we get a palindrome (37787278773).

The spelling of 11111167662 in words is "eleven billion, one hundred eleven million, one hundred sixty-seven thousand, six hundred sixty-two".