22446990720 has 1152 divisors, whose sum is σ = 100566385920. Its totient is φ = 4513259520.

The previous prime is 22446990667. The next prime is 22446990779. The reversal of 22446990720 is 2709964422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×22446990720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 209784907 + ... + 209785013.

It is an arithmetic number, because the mean of its divisors is an integer number (87297210).

Almost surely, 2^22446990720 is an apocalyptic number.

22446990720 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 22446990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50283192960).

22446990720 is an abundant number, since it is smaller than the sum of its proper divisors (78119395200).

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

22446990720 is a wasteful number, since it uses less digits than its factorization.

22446990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 22446990720 in words is "twenty-two billion, four hundred forty-six million, nine hundred ninety thousand, seven hundred twenty".