11706568268832 has 72 divisors (see below), whose sum is σ = 33291159436080. Its totient is φ = 3902118399360.

The previous prime is 11706568268831. The next prime is 11706568268869. The reversal of 11706568268832 is 23886286560711.

11706568268832 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 6 + 568 + 2 + 68 + 8 + 3 + 2 = 666.

11706568268832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11706568268832.

It is not an unprimeable number, because it can be changed into a prime (11706568268831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16874019 + ... + 17554077.

It is an arithmetic number, because the mean of its divisors is an integer number (462377214390).

Almost surely, 2^{11706568268832} is an apocalyptic number.

11706568268832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11706568268832 is an abundant number, since it is smaller than the sum of its proper divisors (21584591167248).

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

11706568268832 is a wasteful number, since it uses less digits than its factorization.

11706568268832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739846 (or 739835 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 11706568268832 in words is "eleven trillion, seven hundred six billion, five hundred sixty-eight million, two hundred sixty-eight thousand, eight hundred thirty-two".