11540132646165 has 24 divisors (see below), whose sum is σ = 20002988729880. Its totient is φ = 6154709059584.

The previous prime is 11540132646143. The next prime is 11540132646167. The reversal of 11540132646165 is 56164623104511.

11540132646165 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 0 + 1 + 3 + 26 + 4 + 616 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2614892745969 + 8925239900196 = 1617063^2 + 2987514^2 .

It is not a de Polignac number, because 11540132646165 - 2³⁰ = 11539058904341 is a prime.

It is a super-2 number, since 2×11540132646165² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11540132646165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540132646167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12451141 + ... + 13345829.

It is an arithmetic number, because the mean of its divisors is an integer number (833457863745).

Almost surely, 2^{11540132646165} is an apocalyptic number.

11540132646165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11540132646165 is a deficient number, since it is larger than the sum of its proper divisors (8462856083715).

11540132646165 is a wasteful number, since it uses less digits than its factorization.

11540132646165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181333 (or 1181330 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11540132646165 in words is "eleven trillion, five hundred forty billion, one hundred thirty-two million, six hundred forty-six thousand, one hundred sixty-five".