22324272341800 has 768 divisors, whose sum is σ = 67325590886400. Its totient is φ = 6755199897600.

The previous prime is 22324272341773. The next prime is 22324272341807. The reversal of 22324272341800 is 814327242322.

It is a super-3 number, since 3×22324272341800³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (22324272341807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2462140867 + ... + 2462149933.

It is an arithmetic number, because the mean of its divisors is an integer number (87663529800).

Almost surely, 2^{22324272341800} is an apocalyptic number.

22324272341800 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 22324272341800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33662795443200).

22324272341800 is an abundant number, since it is smaller than the sum of its proper divisors (45001318544600).

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

22324272341800 is a wasteful number, since it uses less digits than its factorization.

22324272341800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9346 (or 9337 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 22324272341800 in words is "twenty-two trillion, three hundred twenty-four billion, two hundred seventy-two million, three hundred forty-one thousand, eight hundred".