22345344333440 has 128 divisors (see below), whose sum is σ = 53472746322000. Its totient is φ = 8929207091200.

The previous prime is 22345344333439. The next prime is 22345344333449. The reversal of 22345344333440 is 4433344354322.

It can be written as a sum of positive squares in 8 ways, for example, as 16975520658496 + 5369823674944 = 4120136^2 + 2317288^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22345344333391 and 22345344333400.

It is not an unprimeable number, because it can be changed into a prime (22345344333449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3851978540 + ... + 3851984340.

Almost surely, 2^{22345344333440} is an apocalyptic number.

22345344333440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22345344333440 is an abundant number, since it is smaller than the sum of its proper divisors (31127401988560).

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

22345344333440 is a wasteful number, since it uses less digits than its factorization.

22345344333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10798 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 44.

Adding to 22345344333440 its reverse (4433344354322), we get a palindrome (26778688687762).

The spelling of 22345344333440 in words is "twenty-two trillion, three hundred forty-five billion, three hundred forty-four million, three hundred thirty-three thousand, four hundred forty".