14453936 has 80 divisors (see below), whose sum is σ = 34664448. Its totient is φ = 5702400.

The previous prime is 14453921. The next prime is 14453947. The reversal of 14453936 is 63935441.

14453936 = 216² + 217² + ... + 376².

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14453896 and 14453905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79766 + ... + 79946.

Almost surely, 2^14453936 is an apocalyptic number.

14453936 is a gapful number since it is divisible by the number (16) 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 14453936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17332224).

14453936 is an abundant number, since it is smaller than the sum of its proper divisors (20210512).

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

14453936 is a wasteful number, since it uses less digits than its factorization.

14453936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 14453936 is about 3801.8332420031. The cubic root of 14453936 is about 243.5914510460.

The spelling of 14453936 in words is "fourteen million, four hundred fifty-three thousand, nine hundred thirty-six".