11623662688 has 288 divisors, whose sum is σ = 28125286560. Its totient is φ = 4703846400.

The previous prime is 11623662649. The next prime is 11623662751. The reversal of 11623662688 is 88626632611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159228220 + ... + 159228292.

It is an arithmetic number, because the mean of its divisors is an integer number (97657245).

Almost surely, 2^11623662688 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 11623662688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062643280).

11623662688 is an abundant number, since it is smaller than the sum of its proper divisors (16501623872).

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

11623662688 is a wasteful number, since it uses less digits than its factorization.

11623662688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The spelling of 11623662688 in words is "eleven billion, six hundred twenty-three million, six hundred sixty-two thousand, six hundred eighty-eight".