14456064 has 72 divisors (see below), whose sum is σ = 43986880. Its totient is φ = 4128768.

The previous prime is 14456063. The next prime is 14456081. The reversal of 14456064 is 46065441.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14456063) 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, 4032 + ... + 6720.

Almost surely, 2^14456064 is an apocalyptic number.

14456064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993440).

14456064 is an abundant number, since it is smaller than the sum of its proper divisors (29530816).

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

14456064 is an equidigital number, since it uses as much as digits as its factorization.

14456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 14456064 is about 3802.1130966872. The cubic root of 14456064 is about 243.6034048181.

The spelling of 14456064 in words is "fourteen million, four hundred fifty-six thousand, sixty-four".