14769144 has 96 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 4389120.

The previous prime is 14769127. The next prime is 14769169. The reversal of 14769144 is 44196741.

It is a super-2 number, since 2×14769144² = 436255228985472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14769099 and 14769108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28762 + ... + 29270.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 2^14769144 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 14769144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

14769144 is an abundant number, since it is smaller than the sum of its proper divisors (29784456).

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

14769144 is a wasteful number, since it uses less digits than its factorization.

14769144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 14769144 is about 3843.0644022707. The cubic root of 14769144 is about 245.3494610407.

The spelling of 14769144 in words is "fourteen million, seven hundred sixty-nine thousand, one hundred forty-four".