14350014624 has 48 divisors (see below), whose sum is σ = 41093226720. Its totient is φ = 4348488960.

The previous prime is 14350014557. The next prime is 14350014631. The reversal of 14350014624 is 42641005341.

14350014624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14350014624² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14350014591 and 14350014600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6793459 + ... + 6795570.

It is an arithmetic number, because the mean of its divisors is an integer number (856108890).

Almost surely, 2^14350014624 is an apocalyptic number.

It is an amenable number.

14350014624 is an abundant number, since it is smaller than the sum of its proper divisors (26743212096).

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

14350014624 is a wasteful number, since it uses less digits than its factorization.

14350014624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13589053 (or 13589045 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14350014624 its reverse (42641005341), we get a palindrome (56991019965).

The spelling of 14350014624 in words is "fourteen billion, three hundred fifty million, fourteen thousand, six hundred twenty-four".