11681331516 has 96 divisors (see below), whose sum is σ = 32518402560. Its totient is φ = 3613075200.

The previous prime is 11681331451. The next prime is 11681331521. The reversal of 11681331516 is 61513318611.

11681331516 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 133 + 1 + 516 = 666.

11681331516 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 31 ways as a sum of consecutive naturals, for example, 85551 + ... + 175161.

It is an arithmetic number, because the mean of its divisors is an integer number (338733360).

Almost surely, 2^11681331516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11681331516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259201280).

11681331516 is an abundant number, since it is smaller than the sum of its proper divisors (20837071044).

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

11681331516 is a wasteful number, since it uses less digits than its factorization.

11681331516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89712 (or 89704 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 11681331516 in words is "eleven billion, six hundred eighty-one million, three hundred thirty-one thousand, five hundred sixteen".