22134321504 has 144 divisors (see below), whose sum is σ = 66936581712. Its totient is φ = 6913941504.

The previous prime is 22134321413. The next prime is 22134321523. The reversal of 22134321504 is 40512343122.

22134321504 is a `hidden beast` number, since 2 + 2 + 134 + 3 + 21 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1131067 + ... + 1150469.

It is an arithmetic number, because the mean of its divisors is an integer number (464837373).

Almost surely, 2^22134321504 is an apocalyptic number.

22134321504 is a gapful number since it is divisible by the number (24) 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 22134321504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33468290856).

22134321504 is an abundant number, since it is smaller than the sum of its proper divisors (44802260208).

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

22134321504 is a wasteful number, since it uses less digits than its factorization.

22134321504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19669 (or 19658 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22134321504 its reverse (40512343122), we get a palindrome (62646664626).

The spelling of 22134321504 in words is "twenty-two billion, one hundred thirty-four million, three hundred twenty-one thousand, five hundred four".