11711466528804 has 243 divisors, whose sum is σ = 36589805511987. Its totient is φ = 3148644860928.

The previous prime is 11711466528799. The next prime is 11711466528833. The reversal of 11711466528804 is 40882566411711.

The square root of 11711466528804 is 3422202.

It is a perfect power (a square), and thus also a powerful number.

11711466528804 is a `hidden beast` number, since 1 + 1 + 71 + 1 + 46 + 6 + 528 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4895607610404 + 6815858918400 = 2212602^2 + 2610720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2443449832 + ... + 2443454624.

Almost surely, 2^{11711466528804} is an apocalyptic number.

11711466528804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11711466528804 is the 3422202-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11711466528804

11711466528804 is an abundant number, since it is smaller than the sum of its proper divisors (24878338983183).

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

11711466528804 is an equidigital number, since it uses as much as digits as its factorization.

11711466528804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 11711466528804 in words is "eleven trillion, seven hundred eleven billion, four hundred sixty-six million, five hundred twenty-eight thousand, eight hundred four".