14444353106226 has 384 divisors, whose sum is σ = 36348677164800. Its totient is φ = 4126175520768.

The previous prime is 14444353106221. The next prime is 14444353106269. The reversal of 14444353106226 is 62260135344441.

14444353106226 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 3 + 5 + 3 + 10 + 622 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14444353106221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18686096776 + ... + 18686097548.

It is an arithmetic number, because the mean of its divisors is an integer number (94658013450).

Almost surely, 2^{14444353106226} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14444353106226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174338582400).

14444353106226 is an abundant number, since it is smaller than the sum of its proper divisors (21904324058574).

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

14444353106226 is a wasteful number, since it uses less digits than its factorization.

14444353106226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 14444353106226 in words is "fourteen trillion, four hundred forty-four billion, three hundred fifty-three million, one hundred six thousand, two hundred twenty-six".