11514661116 has 144 divisors (see below), whose sum is σ = 31776998400. Its totient is φ = 3235220352.

The previous prime is 11514661099. The next prime is 11514661129. The reversal of 11514661116 is 61116641511.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22621870 + ... + 22622378.

It is an arithmetic number, because the mean of its divisors is an integer number (220673600).

Almost surely, 2^11514661116 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 11514661116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888499200).

11514661116 is an abundant number, since it is smaller than the sum of its proper divisors (20262337284).

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

11514661116 is a wasteful number, since it uses less digits than its factorization.

11514661116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1087 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The spelling of 11514661116 in words is "eleven billion, five hundred fourteen million, six hundred sixty-one thousand, one hundred sixteen".