11611111116 has 72 divisors (see below), whose sum is σ = 30007276992. Its totient is φ = 3491602400.

The previous prime is 11611111103. The next prime is 11611111121. The reversal of 11611111116 is 61111111611.

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

It is a junction number, because it is equal to n+sod(n) for n = 11611111092 and 11611111101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159691 + ... + 220733.

It is an arithmetic number, because the mean of its divisors is an integer number (416767736).

Almost surely, 2^11611111116 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 11611111116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15003638496).

11611111116 is an abundant number, since it is smaller than the sum of its proper divisors (18396165876).

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

11611111116 is a wasteful number, since it uses less digits than its factorization.

11611111116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61203 (or 61190 counting only the distinct ones).

The product of its digits is 36, while the sum is 21.

Adding to 11611111116 its reverse (61111111611), we get a palindrome (72722222727).

It can be divided in two parts, 11 and 611111116, that multiplied together give a palindrome (6722222276).

The spelling of 11611111116 in words is "eleven billion, six hundred eleven million, one hundred eleven thousand, one hundred sixteen".