11182428641088 has 448 divisors, whose sum is σ = 35426869862400. Its totient is φ = 3445941657600.

The previous prime is 11182428641077. The next prime is 11182428641117. The reversal of 11182428641088 is 88014682428111.

11182428641088 is a `hidden beast` number, since 1 + 1 + 1 + 82 + 428 + 64 + 1 + 0 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3381440331 + ... + 3381443637.

Almost surely, 2^{11182428641088} is an apocalyptic number.

11182428641088 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 11182428641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713434931200).

11182428641088 is an abundant number, since it is smaller than the sum of its proper divisors (24244441221312).

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

11182428641088 is a wasteful number, since it uses less digits than its factorization.

11182428641088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 11182428641088 in words is "eleven trillion, one hundred eighty-two billion, four hundred twenty-eight million, six hundred forty-one thousand, eighty-eight".