22320829345 has 8 divisors (see below), whose sum is σ = 26791180200. Its totient is φ = 17852540160.

The previous prime is 22320829339. The next prime is 22320829351. The reversal of 22320829345 is 54392802322.

It is an interprime number because it is at equal distance from previous prime (22320829339) and next prime (22320829351).

It can be written as a sum of positive squares in 4 ways, for example, as 286692624 + 22034136721 = 16932^2 + 148439^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 22320829345 - 2⁵ = 22320829313 is a prime.

It is a super-3 number, since 3×22320829345³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22320829298 and 22320829307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491496 + ... + 534985.

It is an arithmetic number, because the mean of its divisors is an integer number (3348897525).

Almost surely, 2^22320829345 is an apocalyptic number.

It is an amenable number.

22320829345 is a deficient number, since it is larger than the sum of its proper divisors (4470350855).

22320829345 is a wasteful number, since it uses less digits than its factorization.

22320829345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030835.

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 22320829345 in words is "twenty-two billion, three hundred twenty million, eight hundred twenty-nine thousand, three hundred forty-five".