14219108064 has 288 divisors, whose sum is σ = 48168207360. Its totient is φ = 4041902592.

The previous prime is 14219108039. The next prime is 14219108077. The reversal of 14219108064 is 46080191241.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13008702 + ... + 13009794.

It is an arithmetic number, because the mean of its divisors is an integer number (167250720).

Almost surely, 2^14219108064 is an apocalyptic number.

14219108064 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 14219108064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24084103680).

14219108064 is an abundant number, since it is smaller than the sum of its proper divisors (33949099296).

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

14219108064 is a wasteful number, since it uses less digits than its factorization.

14219108064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 14219108064 in words is "fourteen billion, two hundred nineteen million, one hundred eight thousand, sixty-four".