11413967968 has 72 divisors (see below), whose sum is σ = 24385495176. Its totient is φ = 5256576000.

The previous prime is 11413967963. The next prime is 11413968019. The reversal of 11413967968 is 86976931411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413967963) 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 11 ways as a sum of consecutive naturals, for example, 2815543 + ... + 2819593.

It is an arithmetic number, because the mean of its divisors is an integer number (338687433).

Almost surely, 2^11413967968 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 11413967968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192747588).

11413967968 is an abundant number, since it is smaller than the sum of its proper divisors (12971527208).

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

11413967968 is a wasteful number, since it uses less digits than its factorization.

11413967968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4587 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 55.

The spelling of 11413967968 in words is "eleven billion, four hundred thirteen million, nine hundred sixty-seven thousand, nine hundred sixty-eight".