14226399774720 has 4032 divisors, whose sum is σ = 66127776624000. Its totient is φ = 2913555972096.

The previous prime is 14226399774679. The next prime is 14226399774721. The reversal of 14226399774720 is 2747799362241.

14226399774720 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 6 + 3 + 99 + 77 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (14226399774721) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 159847188436 + ... + 159847188524.

It is an arithmetic number, because the mean of its divisors is an integer number (16400738250).

Almost surely, 2^{14226399774720} is an apocalyptic number.

14226399774720 is a gapful number since it is divisible by the number (10) 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 14226399774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33063888312000).

14226399774720 is an abundant number, since it is smaller than the sum of its proper divisors (51901376849280).

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

14226399774720 is an equidigital number, since it uses as much as digits as its factorization.

14226399774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 14226399774720 in words is "fourteen trillion, two hundred twenty-six billion, three hundred ninety-nine million, seven hundred seventy-four thousand, seven hundred twenty".