11123633506311 has 24 divisors (see below), whose sum is σ = 17080583697840. Its totient is φ = 6955893792000.

The previous prime is 11123633506301. The next prime is 11123633506399. The reversal of 11123633506311 is 11360533632111.

11123633506311 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 3 + 6 + 335 + 0 + 6 + 311 = 666.

It is not a de Polignac number, because 11123633506311 - 2⁶ = 11123633506247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123633506301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322014850 + ... + 322049391.

It is an arithmetic number, because the mean of its divisors is an integer number (711690987410).

Almost surely, 2^{11123633506311} is an apocalyptic number.

11123633506311 is a deficient number, since it is larger than the sum of its proper divisors (5956950191529).

11123633506311 is a wasteful number, since it uses less digits than its factorization.

11123633506311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644064367 (or 644064364 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 11123633506311 in words is "eleven trillion, one hundred twenty-three billion, six hundred thirty-three million, five hundred six thousand, three hundred eleven".