11632883310018 has 144 divisors (see below), whose sum is σ = 26311454747136. Its totient is φ = 3714182841600.

The previous prime is 11632883310017. The next prime is 11632883310067. The reversal of 11632883310018 is 81001338823611.

It is a happy number.

11632883310018 is a `hidden beast` number, since 1 + 1 + 6 + 328 + 8 + 3 + 310 + 0 + 1 + 8 = 666.

11632883310018 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11632883310017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1972675246 + ... + 1972681142.

It is an arithmetic number, because the mean of its divisors is an integer number (182718435744).

Almost surely, 2^{11632883310018} is an apocalyptic number.

11632883310018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11632883310018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155727373568).

11632883310018 is an abundant number, since it is smaller than the sum of its proper divisors (14678571437118).

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

11632883310018 is a wasteful number, since it uses less digits than its factorization.

11632883310018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11632883310018 in words is "eleven trillion, six hundred thirty-two billion, eight hundred eighty-three million, three hundred ten thousand, eighteen".