22414000000 has 224 divisors, whose sum is σ = 63828870480. Its totient is φ = 7680000000.

The previous prime is 22413999989. The next prime is 22414000031. The reversal of 22414000000 is 41422.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13999200 + ... + 14000800.

Almost surely, 2^22414000000 is an apocalyptic number.

22414000000 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 22414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31914435240).

22414000000 is an abundant number, since it is smaller than the sum of its proper divisors (41414870480).

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

22414000000 is an frugal number, since it uses more digits than its factorization.

22414000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22414000000 its reverse (41422), we get a palindrome (22414041422).

It can be divided in two parts, 224 and 14000000, that multiplied together give a square (3136000000 = 56000²).

The spelling of 22414000000 in words is "twenty-two billion, four hundred fourteen million", and thus it is an aban number.