11745824769 has 64 divisors (see below), whose sum is σ = 20229959680. Its totient is φ = 6597158400.

The previous prime is 11745824749. The next prime is 11745824777. The reversal of 11745824769 is 96742854711.

11745824769 is a `hidden beast` number, since 1 + 17 + 4 + 582 + 47 + 6 + 9 = 666.

It is not a de Polignac number, because 11745824769 - 2⁹ = 11745824257 is a prime.

It is a super-2 number, since 2×11745824769² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11745824749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2766162 + ... + 2770404.

It is an arithmetic number, because the mean of its divisors is an integer number (316093120).

Almost surely, 2^11745824769 is an apocalyptic number.

It is an amenable number.

11745824769 is a deficient number, since it is larger than the sum of its proper divisors (8484134911).

11745824769 is a wasteful number, since it uses less digits than its factorization.

11745824769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4501 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 11745824769 in words is "eleven billion, seven hundred forty-five million, eight hundred twenty-four thousand, seven hundred sixty-nine".