14531338116 has 135 divisors (see below), whose sum is σ = 39259128447. Its totient is φ = 4686828480.

The previous prime is 14531338109. The next prime is 14531338117. The reversal of 14531338116 is 61183313541.

The square root of 14531338116 is 120546.

It is a perfect power (a square), and thus also a powerful number.

14531338116 is a `hidden beast` number, since 1 + 4 + 531 + 3 + 3 + 8 + 116 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 724148100 + 13807190016 = 26910^2 + 117504^2 .

It is a super-2 number, since 2×14531338116² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14531338117) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 80283546 + ... + 80283726.

Almost surely, 2^14531338116 is an apocalyptic number.

14531338116 is the 120546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14531338116

14531338116 is an abundant number, since it is smaller than the sum of its proper divisors (24727790331).

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

14531338116 is an equidigital number, since it uses as much as digits as its factorization.

14531338116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 223 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Multiplying 14531338116 by its sum of digits (36), we get a square (523128172176 = 723276²).

14531338116 divided by its sum of digits (36) gives a square (403648281 = 20091²).

The spelling of 14531338116 in words is "fourteen billion, five hundred thirty-one million, three hundred thirty-eight thousand, one hundred sixteen".