11434679712 has 384 divisors, whose sum is σ = 36510566400. Its totient is φ = 3469713408.

The previous prime is 11434679677. The next prime is 11434679741. The reversal of 11434679712 is 21797643411.

It is a happy number.

11434679712 is a `hidden beast` number, since 114 + 3 + 467 + 9 + 71 + 2 = 666.

11434679712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68471053 + ... + 68471219.

It is an arithmetic number, because the mean of its divisors is an integer number (95079600).

Almost surely, 2^11434679712 is an apocalyptic number.

11434679712 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 11434679712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255283200).

11434679712 is an abundant number, since it is smaller than the sum of its proper divisors (25075886688).

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

11434679712 is a wasteful number, since it uses less digits than its factorization.

11434679712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 11434679712 in words is "eleven billion, four hundred thirty-four million, six hundred seventy-nine thousand, seven hundred twelve".