22323168000 has 576 divisors, whose sum is σ = 94179671040. Its totient is φ = 5101056000.

The previous prime is 22323167897. The next prime is 22323168017. The reversal of 22323168000 is 86132322.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×22323168000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6046155 + ... + 6049845.

Almost surely, 2^22323168000 is an apocalyptic number.

22323168000 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 22323168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47089835520).

22323168000 is an abundant number, since it is smaller than the sum of its proper divisors (71856503040).

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

22323168000 is an equidigital number, since it uses as much as digits as its factorization.

22323168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 22323168000 in words is "twenty-two billion, three hundred twenty-three million, one hundred sixty-eight thousand".