11516718132 has 96 divisors (see below), whose sum is σ = 30717872640. Its totient is φ = 3729576960.

The previous prime is 11516718071. The next prime is 11516718139. The reversal of 11516718132 is 23181761511.

It is a happy number.

11516718132 is a `hidden beast` number, since 1 + 1 + 516 + 7 + 1 + 8 + 132 = 666.

11516718132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11516718139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687132 + ... + 703692.

It is an arithmetic number, because the mean of its divisors is an integer number (319977840).

Almost surely, 2^11516718132 is an apocalyptic number.

11516718132 is a gapful number since it is divisible by the number (12) 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 11516718132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15358936320).

11516718132 is an abundant number, since it is smaller than the sum of its proper divisors (19201154508).

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

11516718132 is a wasteful number, since it uses less digits than its factorization.

11516718132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16758 (or 16750 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The spelling of 11516718132 in words is "eleven billion, five hundred sixteen million, seven hundred eighteen thousand, one hundred thirty-two".