11787814968384 has 224 divisors, whose sum is σ = 39169351379200. Its totient is φ = 3108874051584.

The previous prime is 11787814968329. The next prime is 11787814968547. The reversal of 11787814968384 is 48386941878711.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6028249 + ... + 7740504.

It is an arithmetic number, because the mean of its divisors is an integer number (174863175800).

Almost surely, 2^{11787814968384} is an apocalyptic number.

11787814968384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11787814968384 is an abundant number, since it is smaller than the sum of its proper divisors (27381536410816).

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

11787814968384 is a wasteful number, since it uses less digits than its factorization.

11787814968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13768802 (or 13768778 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 75.

The spelling of 11787814968384 in words is "eleven trillion, seven hundred eighty-seven billion, eight hundred fourteen million, nine hundred sixty-eight thousand, three hundred eighty-four".