11434131168768 has 2880 divisors, whose sum is σ = 47049855283200. Its totient is φ = 2680219238400.

The previous prime is 11434131168749. The next prime is 11434131168781. The reversal of 11434131168768 is 86786113143411.

11434131168768 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 413 + 1 + 168 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 104900285898 + ... + 104900286006.

Almost surely, 2^{11434131168768} is an apocalyptic number.

11434131168768 is a gapful number since it is divisible by the number (18) 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 11434131168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23524927641600).

11434131168768 is an abundant number, since it is smaller than the sum of its proper divisors (35615724114432).

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

11434131168768 is a wasteful number, since it uses less digits than its factorization.

11434131168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 180 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 11434131168768 in words is "eleven trillion, four hundred thirty-four billion, one hundred thirty-one million, one hundred sixty-eight thousand, seven hundred sixty-eight".