14914368 has 168 divisors, whose sum is σ = 51035712. Its totient is φ = 4230144.

The previous prime is 14914363. The next prime is 14914387. The reversal of 14914368 is 86341941.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×14914368³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (14914363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108796 + ... + 108932.

It is an arithmetic number, because the mean of its divisors is an integer number (303784).

Almost surely, 2^14914368 is an apocalyptic number.

14914368 is a gapful number since it is divisible by the number (18) 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 14914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25517856).

14914368 is an abundant number, since it is smaller than the sum of its proper divisors (36121344).

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

14914368 is an equidigital number, since it uses as much as digits as its factorization.

14914368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14914368 is about 3861.9124795883. The cubic root of 14914368 is about 246.1510078198.

The spelling of 14914368 in words is "fourteen million, nine hundred fourteen thousand, three hundred sixty-eight".