14386066801064 has 256 divisors, whose sum is σ = 33995382220800. Its totient is φ = 5566925242368.

The previous prime is 14386066801019. The next prime is 14386066801069. The reversal of 14386066801064 is 46010866068341.

It is a junction number, because it is equal to n+sod(n) for n = 14386066800997 and 14386066801015.

It is not an unprimeable number, because it can be changed into a prime (14386066801069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4161429224 + ... + 4161432680.

It is an arithmetic number, because the mean of its divisors is an integer number (132794461800).

Almost surely, 2^{14386066801064} is an apocalyptic number.

14386066801064 is a gapful number since it is divisible by the number (14) 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 14386066801064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997691110400).

14386066801064 is an abundant number, since it is smaller than the sum of its proper divisors (19609315419736).

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

14386066801064 is a wasteful number, since it uses less digits than its factorization.

14386066801064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 14386066801064 in words is "fourteen trillion, three hundred eighty-six billion, sixty-six million, eight hundred one thousand, sixty-four".