11905689744 has 140 divisors (see below), whose sum is σ = 37245955516. Its totient is φ = 3663242496.

The previous prime is 11905689743. The next prime is 11905689751. The reversal of 11905689744 is 44798650911.

11905689744 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 568 + 9 + 74 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7187648400 + 4718041344 = 84780^2 + 68688^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11905689743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 112374 + ... + 190890.

Almost surely, 2^11905689744 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 11905689744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18622977758).

11905689744 is an abundant number, since it is smaller than the sum of its proper divisors (25340265772).

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

11905689744 is an equidigital number, since it uses as much as digits as its factorization.

11905689744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78556 (or 78535 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11905689744 in words is "eleven billion, nine hundred five million, six hundred eighty-nine thousand, seven hundred forty-four".