14057865216 has 216 divisors, whose sum is σ = 43061706324. Its totient is φ = 4404019200.

The previous prime is 14057865209. The next prime is 14057865223. The reversal of 14057865216 is 61256875041.

14057865216 is a `hidden beast` number, since 1 + 4 + 0 + 578 + 65 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (14057865209) and next prime (14057865223).

It can be written as a sum of positive squares in 2 ways, for example, as 12401049600 + 1656815616 = 111360^2 + 40704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20053666 + ... + 20054366.

Almost surely, 2^14057865216 is an apocalyptic number.

14057865216 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 14057865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21530853162).

14057865216 is an abundant number, since it is smaller than the sum of its proper divisors (29003841108).

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

14057865216 is an frugal number, since it uses more digits than its factorization.

14057865216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 14057865216 in words is "fourteen billion, fifty-seven million, eight hundred sixty-five thousand, two hundred sixteen".