22446509408 has 96 divisors (see below), whose sum is σ = 47500992000. Its totient is φ = 10409264640.

The previous prime is 22446509387. The next prime is 22446509473. The reversal of 22446509408 is 80490564422.

It is a happy number.

It is a super-3 number, since 3×22446509408³ (a number of 32 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 9720158 + ... + 9722466.

It is an arithmetic number, because the mean of its divisors is an integer number (494802000).

Almost surely, 2^22446509408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22446509408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23750496000).

22446509408 is an abundant number, since it is smaller than the sum of its proper divisors (25054482592).

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

22446509408 is a wasteful number, since it uses less digits than its factorization.

22446509408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 22446509408 in words is "twenty-two billion, four hundred forty-six million, five hundred nine thousand, four hundred eight".