14471468352 has 252 divisors, whose sum is σ = 46125604980. Its totient is φ = 4334161920.

The previous prime is 14471468339. The next prime is 14471468357. The reversal of 14471468352 is 25386417441.

14471468352 is a `hidden beast` number, since 14 + 471 + 46 + 83 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3816274176 + 10655194176 = 61776^2 + 103224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14471468298 and 14471468307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14471468357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6201778 + ... + 6204110.

It is an arithmetic number, because the mean of its divisors is an integer number (183038115).

Almost surely, 2^14471468352 is an apocalyptic number.

14471468352 is a gapful number since it is divisible by the number (12) 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 14471468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23062802490).

14471468352 is an abundant number, since it is smaller than the sum of its proper divisors (31654136628).

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

14471468352 is a wasteful number, since it uses less digits than its factorization.

14471468352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2438 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 14471468352 in words is "fourteen billion, four hundred seventy-one million, four hundred sixty-eight thousand, three hundred fifty-two".