11305422970344 has 128 divisors (see below), whose sum is σ = 31700518992000. Its totient is φ = 3732925658112.

The previous prime is 11305422970301. The next prime is 11305422970367. The reversal of 11305422970344 is 44307922450311.

11305422970344 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 542 + 2 + 9 + 70 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11305422970344.

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 31 ways as a sum of consecutive naturals, for example, 41577759 + ... + 41848785.

It is an arithmetic number, because the mean of its divisors is an integer number (247660304625).

Almost surely, 2^{11305422970344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11305422970344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850259496000).

11305422970344 is an abundant number, since it is smaller than the sum of its proper divisors (20395096021656).

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

11305422970344 is a wasteful number, since it uses less digits than its factorization.

11305422970344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272864 (or 272854 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 11305422970344 in words is "eleven trillion, three hundred five billion, four hundred twenty-two million, nine hundred seventy thousand, three hundred forty-four".