11134134122328 has 64 divisors (see below), whose sum is σ = 35346457536000. Its totient is φ = 3181181177376.

The previous prime is 11134134122299. The next prime is 11134134122329. The reversal of 11134134122328 is 82322143143111.

11134134122328 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 4 + 1 + 3 + 412 + 232 + 8 = 666.

11134134122328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 11134134122292 and 11134134122301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134134122329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3681921148 + ... + 3681924171.

It is an arithmetic number, because the mean of its divisors is an integer number (552288399000).

Almost surely, 2^{11134134122328} is an apocalyptic number.

11134134122328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11134134122328 is an abundant number, since it is smaller than the sum of its proper divisors (24212323413672).

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

11134134122328 is a wasteful number, since it uses less digits than its factorization.

11134134122328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7363845341 (or 7363845331 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 11134134122328 its reverse (82322143143111), we get a palindrome (93456277265439).

The spelling of 11134134122328 in words is "eleven trillion, one hundred thirty-four billion, one hundred thirty-four million, one hundred twenty-two thousand, three hundred twenty-eight".