11862384912 has 270 divisors, whose sum is σ = 40766587758. Its totient is φ = 3210181632.

The previous prime is 11862384881. The next prime is 11862384917. The reversal of 11862384912 is 21948326811.

11862384912 is a `hidden beast` number, since 1 + 1 + 8 + 623 + 8 + 4 + 9 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7988069376 + 3874315536 = 89376^2 + 62244^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11862384917) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2544888 + ... + 2549544.

Almost surely, 2^11862384912 is an apocalyptic number.

11862384912 is a gapful number since it is divisible by the number (12) 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 11862384912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383293879).

11862384912 is an abundant number, since it is smaller than the sum of its proper divisors (28904202846).

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

11862384912 is a wasteful number, since it uses less digits than its factorization.

11862384912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4688 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11862384912 in words is "eleven billion, eight hundred sixty-two million, three hundred eighty-four thousand, nine hundred twelve".