11144565630135 has 96 divisors (see below), whose sum is σ = 23670206407680. Its totient is φ = 4873151460672.

The previous prime is 11144565630127. The next prime is 11144565630173. The reversal of 11144565630135 is 53103656544111.

11144565630135 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 5 + 6 + 5 + 630 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 11144565630135 - 2³ = 11144565630127 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10646779 + ... + 11646588.

It is an arithmetic number, because the mean of its divisors is an integer number (246564650080).

Almost surely, 2^{11144565630135} is an apocalyptic number.

11144565630135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11144565630135 is an abundant number, since it is smaller than the sum of its proper divisors (12525640777545).

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

11144565630135 is a wasteful number, since it uses less digits than its factorization.

11144565630135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22293434 (or 22293405 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 11144565630135 in words is "eleven trillion, one hundred forty-four billion, five hundred sixty-five million, six hundred thirty thousand, one hundred thirty-five".