14216122464 has 48 divisors (see below), whose sum is σ = 37323494208. Its totient is φ = 4737923712.

The previous prime is 14216122441. The next prime is 14216122469. The reversal of 14216122464 is 46422161241.

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

It is a super-2 number, since 2×14216122464² (a number of 21 digits) contains 22 as substring.

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 (14216122469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1036419 + ... + 1050045.

It is an arithmetic number, because the mean of its divisors is an integer number (777572796).

Almost surely, 2^14216122464 is an apocalyptic number.

It is an amenable number.

14216122464 is an abundant number, since it is smaller than the sum of its proper divisors (23107371744).

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

14216122464 is a wasteful number, since it uses less digits than its factorization.

14216122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24507 (or 24499 counting only the distinct ones).

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

The spelling of 14216122464 in words is "fourteen billion, two hundred sixteen million, one hundred twenty-two thousand, four hundred sixty-four".