14021711616 has 288 divisors, whose sum is σ = 41882835456. Its totient is φ = 4128768000.

The previous prime is 14021711609. The next prime is 14021711617. The reversal of 14021711616 is 61611712041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021711617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58181256 + ... + 58181496.

It is an arithmetic number, because the mean of its divisors is an integer number (145426512).

Almost surely, 2^14021711616 is an apocalyptic number.

14021711616 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 14021711616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20941417728).

14021711616 is an abundant number, since it is smaller than the sum of its proper divisors (27861123840).

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

14021711616 is a wasteful number, since it uses less digits than its factorization.

14021711616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 14021711616 in words is "fourteen billion, twenty-one million, seven hundred eleven thousand, six hundred sixteen".