22345140000 has 480 divisors, whose sum is σ = 81763577280. Its totient is φ = 5308416000.

The previous prime is 22345139989. The next prime is 22345140043. The reversal of 22345140000 is 4154322.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 19379424 + ... + 19380576.

It is an arithmetic number, because the mean of its divisors is an integer number (170340786).

Almost surely, 2^22345140000 is an apocalyptic number.

22345140000 is a gapful number since it is divisible by the number (20) 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 22345140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40881788640).

22345140000 is an abundant number, since it is smaller than the sum of its proper divisors (59418437280).

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

22345140000 is a wasteful number, since it uses less digits than its factorization.

22345140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 22345140000 its reverse (4154322), we get a palindrome (22349294322).

The spelling of 22345140000 in words is "twenty-two billion, three hundred forty-five million, one hundred forty thousand".