14225366678016 has 640 divisors, whose sum is σ = 43794796953600. Its totient is φ = 4069229395968.

The previous prime is 14225366677987. The next prime is 14225366678027. The reversal of 14225366678016 is 61087666352241.

It is a super-2 number, since 2×14225366678016² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3216223581 + ... + 3216228003.

It is an arithmetic number, because the mean of its divisors is an integer number (68429370240).

Almost surely, 2^{14225366678016} is an apocalyptic number.

14225366678016 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 14225366678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21897398476800).

14225366678016 is an abundant number, since it is smaller than the sum of its proper divisors (29569430275584).

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

14225366678016 is a wasteful number, since it uses less digits than its factorization.

14225366678016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 14225366678016 in words is "fourteen trillion, two hundred twenty-five billion, three hundred sixty-six million, six hundred seventy-eight thousand, sixteen".