14007686350 has 288 divisors, whose sum is σ = 34930621440. Its totient is φ = 4136832000.

The previous prime is 14007686317. The next prime is 14007686353. The reversal of 14007686350 is 5368670041.

It is a happy number.

14007686350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14007686353) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 24531565 + ... + 24532135.

It is an arithmetic number, because the mean of its divisors is an integer number (121286880).

Almost surely, 2^14007686350 is an apocalyptic number.

14007686350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14007686350 is an abundant number, since it is smaller than the sum of its proper divisors (20922935090).

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

14007686350 is a wasteful number, since it uses less digits than its factorization.

14007686350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 14007686350 in words is "fourteen billion, seven million, six hundred eighty-six thousand, three hundred fifty".