11755691145 has 96 divisors (see below), whose sum is σ = 22740756480. Its totient is φ = 5569966080.

The previous prime is 11755691137. The next prime is 11755691147. The reversal of 11755691145 is 54119655711.

11755691145 is a `hidden beast` number, since 1 + 1 + 7 + 556 + 91 + 1 + 4 + 5 = 666.

11755691145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11755691145 - 2³ = 11755691137 is a prime.

It is a super-2 number, since 2×11755691145² (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11755691145.

It is not an unprimeable number, because it can be changed into a prime (11755691147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4081816 + ... + 4084694.

It is an arithmetic number, because the mean of its divisors is an integer number (236882880).

Almost surely, 2^11755691145 is an apocalyptic number.

11755691145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11755691145 is a deficient number, since it is larger than the sum of its proper divisors (10985065335).

11755691145 is a wasteful number, since it uses less digits than its factorization.

11755691145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3084 counting only the distinct ones).

The product of its digits is 189000, while the sum is 45.

The spelling of 11755691145 in words is "eleven billion, seven hundred fifty-five million, six hundred ninety-one thousand, one hundred forty-five".