11685465396801 has 243 divisors, whose sum is σ = 20872771316163. Its totient is φ = 6281106733440.

The previous prime is 11685465396767. The next prime is 11685465396823. The reversal of 11685465396801 is 10869356458611.

The square root of 11685465396801 is 3418401.

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

11685465396801 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 5 + 465 + 3 + 96 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2243857198401 + 9441608198400 = 1497951^2 + 3072720^2 .

It is not a de Polignac number, because 11685465396801 - 2¹⁹ = 11685464872513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11685465396841) 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 242 ways as a sum of consecutive naturals, for example, 131297363965 + ... + 131297364053.

Almost surely, 2^{11685465396801} is an apocalyptic number.

11685465396801 is the 3418401-st square number.

11685465396801 is the 1709201-st centered octagonal number.

It is an amenable number.

11685465396801 is a deficient number, since it is larger than the sum of its proper divisors (9187305919362).

11685465396801 is an frugal number, since it uses more digits than its factorization.

11685465396801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 11685465396801 in words is "eleven trillion, six hundred eighty-five billion, four hundred sixty-five million, three hundred ninety-six thousand, eight hundred one".