11480040806814 has 48 divisors (see below), whose sum is σ = 25790928543744. Its totient is φ = 3686632477200.

The previous prime is 11480040806797. The next prime is 11480040806873. The reversal of 11480040806814 is 41860804008411.

11480040806814 is a `hidden beast` number, since 11 + 480 + 0 + 4 + 0 + 80 + 6 + 81 + 4 = 666.

11480040806814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11480040806814² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11480040806814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46004602 + ... + 46253469.

It is an arithmetic number, because the mean of its divisors is an integer number (537311011328).

Almost surely, 2^{11480040806814} is an apocalyptic number.

11480040806814 is an abundant number, since it is smaller than the sum of its proper divisors (14310887736930).

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

11480040806814 is a wasteful number, since it uses less digits than its factorization.

11480040806814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92258333 (or 92258330 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 11480040806814 in words is "eleven trillion, four hundred eighty billion, forty million, eight hundred six thousand, eight hundred fourteen".