14496768 has 198 divisors, whose sum is σ = 49549682. Its totient is φ = 4055040.

The previous prime is 14496749. The next prime is 14496773. The reversal of 14496768 is 86769441.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 4460544 = 3168^2 + 2112^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115130 + ... + 1115142.

Almost surely, 2^14496768 is an apocalyptic number.

14496768 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 14496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24774841).

14496768 is an abundant number, since it is smaller than the sum of its proper divisors (35052914).

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

14496768 is a wasteful number, since it uses less digits than its factorization.

14496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 14496768 is about 3807.4621468900. The cubic root of 14496768 is about 243.8318289365.

The spelling of 14496768 in words is "fourteen million, four hundred ninety-six thousand, seven hundred sixty-eight".