14198464 has 56 divisors (see below), whose sum is σ = 33028128. Its totient is φ = 5928960.

The previous prime is 14198419. The next prime is 14198467. The reversal of 14198464 is 46489141.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (14198467) 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, 17982 + ... + 18754.

It is an arithmetic number, because the mean of its divisors is an integer number (589788).

Almost surely, 2^14198464 is an apocalyptic number.

14198464 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 14198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514064).

14198464 is an abundant number, since it is smaller than the sum of its proper divisors (18829664).

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

14198464 is an equidigital number, since it uses as much as digits as its factorization.

14198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 823 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 14198464 is about 3768.0849247330. The cubic root of 14198464 is about 242.1477594093.

The spelling of 14198464 in words is "fourteen million, one hundred ninety-eight thousand, four hundred sixty-four".