22444231680000 has 2800 divisors, whose sum is σ = 94676130765216. Its totient is φ = 5255331840000.

The previous prime is 22444231679941. The next prime is 22444231680007. The reversal of 22444231680000 is 8613244422.

22444231680000 is a `hidden beast` number, since 224 + 4 + 42 + 316 + 80 + 0 + 0 + 0 = 666.

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 (22444231680007) 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 199 ways as a sum of consecutive naturals, for example, 124001279910 + ... + 124001280090.

Almost surely, 2^{22444231680000} is an apocalyptic number.

22444231680000 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 22444231680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47338065382608).

22444231680000 is an abundant number, since it is smaller than the sum of its proper divisors (72231899085216).

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

22444231680000 is an equidigital number, since it uses as much as digits as its factorization.

22444231680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 22444231680000 in words is "twenty-two trillion, four hundred forty-four billion, two hundred thirty-one million, six hundred eighty thousand".