11968671744 has 156 divisors (see below), whose sum is σ = 34819941000. Its totient is φ = 3960963072.

The previous prime is 11968671733. The next prime is 11968671779. The reversal of 11968671744 is 44717686911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5491647 + ... + 5493825.

It is an arithmetic number, because the mean of its divisors is an integer number (223204750).

Almost surely, 2^11968671744 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 11968671744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409970500).

11968671744 is an abundant number, since it is smaller than the sum of its proper divisors (22851269256).

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

11968671744 is a wasteful number, since it uses less digits than its factorization.

11968671744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2333 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 11968671744 in words is "eleven billion, nine hundred sixty-eight million, six hundred seventy-one thousand, seven hundred forty-four".