14266053226656 has 2304 divisors, whose sum is σ = 58045379051520. Its totient is φ = 3321077760000.

The previous prime is 14266053226619. The next prime is 14266053226657. The reversal of 14266053226656 is 65662235066241.

14266053226656 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 605 + 3 + 2 + 26 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14266053226657) 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 383 ways as a sum of consecutive naturals, for example, 27382059676 + ... + 27382060196.

It is an arithmetic number, because the mean of its divisors is an integer number (25193306880).

Almost surely, 2^{14266053226656} is an apocalyptic number.

14266053226656 is a gapful number since it is divisible by the number (16) 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 14266053226656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29022689525760).

14266053226656 is an abundant number, since it is smaller than the sum of its proper divisors (43779325824864).

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

14266053226656 is a wasteful number, since it uses less digits than its factorization.

14266053226656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 14266053226656 in words is "fourteen trillion, two hundred sixty-six billion, fifty-three million, two hundred twenty-six thousand, six hundred fifty-six".