14914944 has 144 divisors (see below), whose sum is σ = 47616660. Its totient is φ = 4477440.

The previous prime is 14914931. The next prime is 14914951. The reversal of 14914944 is 44941941.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14914899 and 14914908.

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, 139339 + ... + 139445.

Almost surely, 2^14914944 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 14914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808330).

14914944 is an abundant number, since it is smaller than the sum of its proper divisors (32701716).

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

14914944 is a wasteful number, since it uses less digits than its factorization.

14914944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14914944 is about 3861.9870533185. The cubic root of 14914944 is about 246.1541766021.

The spelling of 14914944 in words is "fourteen million, nine hundred fourteen thousand, nine hundred forty-four".