14207346864 has 200 divisors, whose sum is σ = 41680211760. Its totient is φ = 4691167488.

The previous prime is 14207346833. The next prime is 14207346869. The reversal of 14207346864 is 46864370241.

14207346864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14207346869) 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 39 ways as a sum of consecutive naturals, for example, 62040702 + ... + 62040930.

Almost surely, 2^14207346864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14207346864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20840105880).

14207346864 is an abundant number, since it is smaller than the sum of its proper divisors (27472864896).

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

14207346864 is an frugal number, since it uses more digits than its factorization.

14207346864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 14207346864 in words is "fourteen billion, two hundred seven million, three hundred forty-six thousand, eight hundred sixty-four".