14122464 has 48 divisors (see below), whose sum is σ = 37347408. Its totient is φ = 4672512.

The previous prime is 14122463. The next prime is 14122469. The reversal of 14122464 is 46422141.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (14122463) 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, 14604 + ... + 15540.

It is an arithmetic number, because the mean of its divisors is an integer number (778071).

Almost surely, 2^14122464 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 14122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673704).

14122464 is an abundant number, since it is smaller than the sum of its proper divisors (23224944).

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

14122464 is a wasteful number, since it uses less digits than its factorization.

14122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1099 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 14122464 is about 3757.9866950270. The cubic root of 14122464 is about 241.7149388048.

The spelling of 14122464 in words is "fourteen million, one hundred twenty-two thousand, four hundred sixty-four".