14461104 has 80 divisors (see below), whose sum is σ = 43108352. Its totient is φ = 4091904.

The previous prime is 14461093. The next prime is 14461123. The reversal of 14461104 is 40116441.

14461104 = 172² + 173² + ... + 364².

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 64737 + ... + 64959.

Almost surely, 2^14461104 is an apocalyptic number.

14461104 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 14461104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21554176).

14461104 is an abundant number, since it is smaller than the sum of its proper divisors (28647248).

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

14461104 is a wasteful number, since it uses less digits than its factorization.

14461104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 14461104 is about 3802.7758282602. The cubic root of 14461104 is about 243.6317117050.

Adding to 14461104 its reverse (40116441), we get a palindrome (54577545).

The spelling of 14461104 in words is "fourteen million, four hundred sixty-one thousand, one hundred four".