11646180000 has 1200 divisors, whose sum is σ = 53343924480. Its totient is φ = 2426112000.

The previous prime is 11646179999. The next prime is 11646180041. The reversal of 11646180000 is 8164611.

11646180000 is a `hidden beast` number, since 1 + 1 + 646 + 18 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 147419961 + ... + 147420039.

Almost surely, 2^11646180000 is an apocalyptic number.

11646180000 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 11646180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671962240).

11646180000 is an abundant number, since it is smaller than the sum of its proper divisors (41697744480).

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

11646180000 is an equidigital number, since it uses as much as digits as its factorization.

11646180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11646180000 in words is "eleven billion, six hundred forty-six million, one hundred eighty thousand".