14511357216 has 144 divisors (see below), whose sum is σ = 43779317400. Its totient is φ = 4543709184.

The previous prime is 14511357197. The next prime is 14511357257. The reversal of 14511357216 is 61275311541.

14511357216 is a `hidden beast` number, since 1 + 451 + 135 + 72 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14351081616 + 160275600 = 119796^2 + 12660^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2783220 + ... + 2788428.

Almost surely, 2^14511357216 is an apocalyptic number.

14511357216 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 14511357216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21889658700).

14511357216 is an abundant number, since it is smaller than the sum of its proper divisors (29267960184).

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

14511357216 is a wasteful number, since it uses less digits than its factorization.

14511357216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5800 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

Adding to 14511357216 its reverse (61275311541), we get a palindrome (75786668757).

The spelling of 14511357216 in words is "fourteen billion, five hundred eleven million, three hundred fifty-seven thousand, two hundred sixteen".