22909968000 has 192 divisors, whose sum is σ = 82275939720. Its totient is φ = 6109286400.

The previous prime is 22909967959. The next prime is 22909968001. The reversal of 22909968000 is 86990922.

It can be written as a sum of positive squares in 4 ways, for example, as 1315077696 + 21594890304 = 36264^2 + 146952^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×22909968000³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (22909968001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64452 + ... + 223548.

Almost surely, 2^22909968000 is an apocalyptic number.

22909968000 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 22909968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41137969860).

22909968000 is an abundant number, since it is smaller than the sum of its proper divisors (59365971720).

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

22909968000 is a wasteful number, since it uses less digits than its factorization.

22909968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159132 (or 159107 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 22909968000 in words is "twenty-two billion, nine hundred nine million, nine hundred sixty-eight thousand".