22423010068800 has 2268 divisors, whose sum is σ = 92340940357120. Its totient is φ = 5354279884800.

The previous prime is 22423010068793. The next prime is 22423010068807. The reversal of 22423010068800 is 886001032422.

It is an interprime number because it is at equal distance from previous prime (22423010068793) and next prime (22423010068807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22423010068807) by changing a digit.

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 323 ways as a sum of consecutive naturals, for example, 161316619131 + ... + 161316619269.

Almost surely, 2^{22423010068800} is an apocalyptic number.

22423010068800 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 22423010068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46170470178560).

22423010068800 is an abundant number, since it is smaller than the sum of its proper divisors (69917930288320).

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

22423010068800 is a wasteful number, since it uses less digits than its factorization.

22423010068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22423010068800 in words is "twenty-two trillion, four hundred twenty-three billion, ten million, sixty-eight thousand, eight hundred".