11188618468608 has 288 divisors, whose sum is σ = 35534643701760. Its totient is φ = 3057664942080.

The previous prime is 11188618468591. The next prime is 11188618468633. The reversal of 11188618468608 is 80686481688111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16346373 + ... + 17017083.

It is an arithmetic number, because the mean of its divisors is an integer number (123384179520).

Almost surely, 2^{11188618468608} 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 11188618468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767321850880).

11188618468608 is an abundant number, since it is smaller than the sum of its proper divisors (24346025233152).

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

11188618468608 is a wasteful number, since it uses less digits than its factorization.

11188618468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670873 (or 670859 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 66.

The spelling of 11188618468608 in words is "eleven trillion, one hundred eighty-eight billion, six hundred eighteen million, four hundred sixty-eight thousand, six hundred eight".