11506149 has 24 divisors (see below), whose sum is σ = 17280120. Its totient is φ = 7371648.

The previous prime is 11506139. The next prime is 11506163. The reversal of 11506149 is 94160511.

11506149 is a `hidden beast` number, since 11 + 506 + 149 = 666.

11506149 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2160900 + 9345249 = 1470^2 + 3057^2 .

It is not a de Polignac number, because 11506149 - 2¹³ = 11497957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11506139) 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, 36139 + ... + 36455.

It is an arithmetic number, because the mean of its divisors is an integer number (720005).

Almost surely, 2^11506149 is an apocalyptic number.

It is an amenable number.

11506149 is a deficient number, since it is larger than the sum of its proper divisors (5773971).

11506149 is a wasteful number, since it uses less digits than its factorization.

11506149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11506149 is about 3392.0714909919. The cubic root of 11506149 is about 225.7580947271.

The spelling of 11506149 in words is "eleven million, five hundred six thousand, one hundred forty-nine".