14944768 has 60 divisors (see below), whose sum is σ = 32034222. Its totient is φ = 6963200.

The previous prime is 14944763. The next prime is 14944777. The reversal of 14944768 is 86744941.

It can be written as a sum of positive squares in 3 ways, for example, as 14379264 + 565504 = 3792^2 + 752^2 .

It is not an unprimeable number, because it can be changed into a prime (14944763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147918 + ... + 148018.

Almost surely, 2^14944768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16017111).

14944768 is an abundant number, since it is smaller than the sum of its proper divisors (17089454).

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

14944768 is an equidigital number, since it uses as much as digits as its factorization.

14944768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 14944768 is about 3865.8463497661. The cubic root of 14944768 is about 246.3181377576.

The spelling of 14944768 in words is "fourteen million, nine hundred forty-four thousand, seven hundred sixty-eight".