14977144 has 48 divisors (see below), whose sum is σ = 35191800. Its totient is φ = 5923008.

The previous prime is 14977141. The next prime is 14977159. The reversal of 14977144 is 44177941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14977141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3627 + ... + 6565.

Almost surely, 2^14977144 is an apocalyptic number.

14977144 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 14977144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595900).

14977144 is an abundant number, since it is smaller than the sum of its proper divisors (20214656).

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

14977144 is a wasteful number, since it uses less digits than its factorization.

14977144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2961 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 14977144 is about 3870.0315244194. The cubic root of 14977144 is about 246.4958821059.

The spelling of 14977144 in words is "fourteen million, nine hundred seventy-seven thousand, one hundred forty-four".