11653461216 has 108 divisors (see below), whose sum is σ = 34975827432. Its totient is φ = 3680007552.

The previous prime is 11653461187. The next prime is 11653461227. The reversal of 11653461216 is 61216435611.

11653461216 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 34 + 612 + 1 + 6 = 666.

11653461216 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 an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 47925 + ... + 160011.

It is an arithmetic number, because the mean of its divisors is an integer number (323850254).

Almost surely, 2^11653461216 is an apocalyptic number.

11653461216 is a gapful number since it is divisible by the number (16) 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 11653461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487913716).

11653461216 is an abundant number, since it is smaller than the sum of its proper divisors (23322366216).

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

11653461216 is a wasteful number, since it uses less digits than its factorization.

11653461216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112141 (or 112111 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Adding to 11653461216 its reverse (61216435611), we get a palindrome (72869896827).

The spelling of 11653461216 in words is "eleven billion, six hundred fifty-three million, four hundred sixty-one thousand, two hundred sixteen".