11748649824 has 144 divisors (see below), whose sum is σ = 35677998720. Its totient is φ = 3659120640.

The previous prime is 11748649823. The next prime is 11748649859. The reversal of 11748649824 is 42894684711.

11748649824 is a `hidden beast` number, since 1 + 1 + 74 + 86 + 498 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11748649823) 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, 236224 + ... + 281600.

It is an arithmetic number, because the mean of its divisors is an integer number (247763880).

Almost surely, 2^11748649824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11748649824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838999360).

11748649824 is an abundant number, since it is smaller than the sum of its proper divisors (23929348896).

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

11748649824 is a wasteful number, since it uses less digits than its factorization.

11748649824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45453 (or 45442 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 11748649824 in words is "eleven billion, seven hundred forty-eight million, six hundred forty-nine thousand, eight hundred twenty-four".