14881142224 has 80 divisors (see below), whose sum is σ = 31349122000. Its totient is φ = 6842893824.

The previous prime is 14881142207. The next prime is 14881142233. The reversal of 14881142224 is 42224118841.

It can be written as a sum of positive squares in 8 ways, for example, as 12374337600 + 2506804624 = 111240^2 + 50068^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12267442 + ... + 12268654.

It is an arithmetic number, because the mean of its divisors is an integer number (391864025).

Almost surely, 2^14881142224 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 14881142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15674561000).

14881142224 is an abundant number, since it is smaller than the sum of its proper divisors (16467979776).

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

14881142224 is a wasteful number, since it uses less digits than its factorization.

14881142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1577 counting only the distinct ones).

The product of its digits is 32768, while the sum is 37.

The spelling of 14881142224 in words is "fourteen billion, eight hundred eighty-one million, one hundred forty-two thousand, two hundred twenty-four".