11128814135264 has 96 divisors (see below), whose sum is σ = 25701973920000. Its totient is φ = 4643835816960.

The previous prime is 11128814135261. The next prime is 11128814135273. The reversal of 11128814135264 is 46253141882111.

It is a super-3 number, since 3×11128814135264³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11128814135261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3368627 + ... + 5797005.

It is an arithmetic number, because the mean of its divisors is an integer number (267728895000).

Almost surely, 2^{11128814135264} is an apocalyptic number.

11128814135264 is a gapful number since it is divisible by the number (14) 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 11128814135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850986960000).

11128814135264 is an abundant number, since it is smaller than the sum of its proper divisors (14573159784736).

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

11128814135264 is a wasteful number, since it uses less digits than its factorization.

11128814135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428936 (or 2428928 counting only the distinct ones).

The product of its digits is 368640, while the sum is 47.

The spelling of 11128814135264 in words is "eleven trillion, one hundred twenty-eight billion, eight hundred fourteen million, one hundred thirty-five thousand, two hundred sixty-four".