14224211664 has 80 divisors (see below), whose sum is σ = 39612589632. Its totient is φ = 4372245504.

The previous prime is 14224211579. The next prime is 14224211669. The reversal of 14224211664 is 46611242241.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224211669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633559 + ... + 655625.

Almost surely, 2^14224211664 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 14224211664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19806294816).

14224211664 is an abundant number, since it is smaller than the sum of its proper divisors (25388377968).

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

14224211664 is a wasteful number, since it uses less digits than its factorization.

14224211664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23124 (or 23118 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The spelling of 14224211664 in words is "fourteen billion, two hundred twenty-four million, two hundred eleven thousand, six hundred sixty-four".