11463184768 has 128 divisors (see below), whose sum is σ = 26518302720. Its totient is φ = 4834584576.

The previous prime is 11463184741. The next prime is 11463184771. The reversal of 11463184768 is 86748136411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20579946 + ... + 20580502.

It is an arithmetic number, because the mean of its divisors is an integer number (207174240).

Almost surely, 2^11463184768 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 11463184768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259151360).

11463184768 is an abundant number, since it is smaller than the sum of its proper divisors (15055117952).

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

11463184768 is a wasteful number, since it uses less digits than its factorization.

11463184768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The spelling of 11463184768 in words is "eleven billion, four hundred sixty-three million, one hundred eighty-four thousand, seven hundred sixty-eight".