14401152 has 96 divisors (see below), whose sum is σ = 43068480. Its totient is φ = 4790016.

The previous prime is 14401111. The next prime is 14401171. The reversal of 14401152 is 25110441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30873 + ... + 31335.

It is an arithmetic number, because the mean of its divisors is an integer number (448630).

Almost surely, 2^14401152 is an apocalyptic number.

14401152 is a gapful number since it is divisible by the number (12) 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 14401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21534240).

14401152 is an abundant number, since it is smaller than the sum of its proper divisors (28667328).

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

14401152 is an frugal number, since it uses more digits than its factorization.

14401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 14401152 is about 3794.8849784941. The cubic root of 14401152 is about 243.2945673321.

Adding to 14401152 its reverse (25110441), we get a palindrome (39511593).

The spelling of 14401152 in words is "fourteen million, four hundred one thousand, one hundred fifty-two".