11688141600 has 216 divisors, whose sum is σ = 41302012752. Its totient is φ = 3110284800.

The previous prime is 11688141599. The next prime is 11688141601. The reversal of 11688141600 is 614188611.

11688141600 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 8 + 1 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (11688141599) and next prime (11688141601).

It is a super-2 number, since 2×11688141600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11688141601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4109779 + ... + 4112621.

It is an arithmetic number, because the mean of its divisors is an integer number (191213022).

Almost surely, 2^11688141600 is an apocalyptic number.

11688141600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11688141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20651006376).

11688141600 is an abundant number, since it is smaller than the sum of its proper divisors (29613871152).

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

11688141600 is a wasteful number, since it uses less digits than its factorization.

11688141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11688141600 in words is "eleven billion, six hundred eighty-eight million, one hundred forty-one thousand, six hundred".