11434134528 has 176 divisors, whose sum is σ = 34007384160. Its totient is φ = 3795075072.

The previous prime is 11434134497. The next prime is 11434134541. The reversal of 11434134528 is 82543143411.

11434134528 is a `hidden beast` number, since 114 + 3 + 4 + 13 + 4 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11434134492 and 11434134501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7657750 + ... + 7659242.

Almost surely, 2^11434134528 is an apocalyptic number.

11434134528 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 11434134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003692080).

11434134528 is an abundant number, since it is smaller than the sum of its proper divisors (22573249632).

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

11434134528 is a wasteful number, since it uses less digits than its factorization.

11434134528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1775 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 11434134528 its reverse (82543143411), we get a palindrome (93977277939).

The spelling of 11434134528 in words is "eleven billion, four hundred thirty-four million, one hundred thirty-four thousand, five hundred twenty-eight".