14064978386688 has 144 divisors (see below), whose sum is σ = 39411207763200. Its totient is φ = 4440706744320.

The previous prime is 14064978386687. The next prime is 14064978386689. The reversal of 14064978386688 is 88668387946041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14064978386687) and next prime (14064978386689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14064978386681) 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 15 ways as a sum of consecutive naturals, for example, 76969093 + ... + 77151611.

It is an arithmetic number, because the mean of its divisors is an integer number (273688942800).

Almost surely, 2^{14064978386688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14064978386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19705603881600).

14064978386688 is an abundant number, since it is smaller than the sum of its proper divisors (25346229376512).

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

14064978386688 is a wasteful number, since it uses less digits than its factorization.

14064978386688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187838 (or 187824 counting only the distinct ones).

The product of its (nonzero) digits is 2675441664, while the sum is 78.

The spelling of 14064978386688 in words is "fourteen trillion, sixty-four billion, nine hundred seventy-eight million, three hundred eighty-six thousand, six hundred eighty-eight".