14130314352 has 640 divisors, whose sum is σ = 53208023040. Its totient is φ = 3483648000.

The previous prime is 14130314347. The next prime is 14130314399. The reversal of 14130314352 is 25341303141.

It is a happy number.

14130314352 is a `hidden beast` number, since 1 + 4 + 1 + 303 + 1 + 4 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73213968 + ... + 73214160.

It is an arithmetic number, because the mean of its divisors is an integer number (83137536).

Almost surely, 2^14130314352 is an apocalyptic number.

14130314352 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 14130314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26604011520).

14130314352 is an abundant number, since it is smaller than the sum of its proper divisors (39077708688).

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

14130314352 is a wasteful number, since it uses less digits than its factorization.

14130314352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14130314352 its reverse (25341303141), we get a palindrome (39471617493).

The spelling of 14130314352 in words is "fourteen billion, one hundred thirty million, three hundred fourteen thousand, three hundred fifty-two".