22409738304 has 224 divisors, whose sum is σ = 64192733184. Its totient is φ = 6879375360.

The previous prime is 22409738287. The next prime is 22409738353. The reversal of 22409738304 is 40383790422.

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 31 ways as a sum of consecutive naturals, for example, 42848187 + ... + 42848709.

Almost surely, 2^22409738304 is an apocalyptic number.

22409738304 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 22409738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32096366592).

22409738304 is an abundant number, since it is smaller than the sum of its proper divisors (41782994880).

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

22409738304 is a wasteful number, since it uses less digits than its factorization.

22409738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 22409738304 in words is "twenty-two billion, four hundred nine million, seven hundred thirty-eight thousand, three hundred four".