11434221338688 has 168 divisors, whose sum is σ = 32976897276960. Its totient is φ = 3787893504000.

The previous prime is 11434221338681. The next prime is 11434221338737. The reversal of 11434221338688 is 88683312243411.

11434221338688 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 4 + 221 + 338 + 6 + 88 = 666.

It is a super-2 number, since 2×11434221338688² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (11434221338681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 65984703 + ... + 66157761.

It is an arithmetic number, because the mean of its divisors is an integer number (196291055220).

Almost surely, 2^{11434221338688} is an apocalyptic number.

11434221338688 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 11434221338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488448638480).

11434221338688 is an abundant number, since it is smaller than the sum of its proper divisors (21542675938272).

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

11434221338688 is a wasteful number, since it uses less digits than its factorization.

11434221338688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173785 (or 173772 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 11434221338688 in words is "eleven trillion, four hundred thirty-four billion, two hundred twenty-one million, three hundred thirty-eight thousand, six hundred eighty-eight".