22038416000 has 128 divisors (see below), whose sum is σ = 57176271360. Its totient is φ = 8431948800.

The previous prime is 22038415999. The next prime is 22038416011. The reversal of 22038416000 is 61483022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338057 + ... + 397943.

It is an arithmetic number, because the mean of its divisors is an integer number (446689620).

Almost surely, 2^22038416000 is an apocalyptic number.

22038416000 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 22038416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28588135680).

22038416000 is an abundant number, since it is smaller than the sum of its proper divisors (35137855360).

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

22038416000 is an equidigital number, since it uses as much as digits as its factorization.

22038416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59939 (or 59917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 22038416000 its reverse (61483022), we get a palindrome (22099899022).

The spelling of 22038416000 in words is "twenty-two billion, thirty-eight million, four hundred sixteen thousand".