11789616384 has 648 divisors, whose sum is σ = 44211290760. Its totient is φ = 2991292416.

The previous prime is 11789616361. The next prime is 11789616401. The reversal of 11789616384 is 48361698711.

11789616384 is a `hidden beast` number, since 1 + 17 + 8 + 9 + 616 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11289600 + 11778326784 = 3360^2 + 108528^2 .

It is a super-3 number, since 3×11789616384³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11789616384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42561654 + ... + 42561930.

Almost surely, 2^11789616384 is an apocalyptic number.

11789616384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11789616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22105645380).

11789616384 is an abundant number, since it is smaller than the sum of its proper divisors (32421674376).

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

11789616384 is a wasteful number, since it uses less digits than its factorization.

11789616384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 331 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 11789616384 in words is "eleven billion, seven hundred eighty-nine million, six hundred sixteen thousand, three hundred eighty-four".