11094435284688 has 400 divisors, whose sum is σ = 36889847470080. Its totient is φ = 3153283644672.

The previous prime is 11094435284683. The next prime is 11094435284689. The reversal of 11094435284688 is 88648253449011.

It is a happy number.

11094435284688 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 4 + 43 + 528 + 4 + 68 + 8 = 666.

It is a super-2 number, since 2×11094435284688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11094435284683) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1661088933 + ... + 1661095611.

Almost surely, 2^{11094435284688} is an apocalyptic number.

11094435284688 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 11094435284688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18444923735040).

11094435284688 is an abundant number, since it is smaller than the sum of its proper divisors (25795412185392).

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

11094435284688 is a wasteful number, since it uses less digits than its factorization.

11094435284688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7636 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 11094435284688 in words is "eleven trillion, ninety-four billion, four hundred thirty-five million, two hundred eighty-four thousand, six hundred eighty-eight".