14478827584 has 105 divisors (see below), whose sum is σ = 31479280577. Its totient is φ = 6607451136.

The previous prime is 14478827537. The next prime is 14478827591. The reversal of 14478827584 is 48572887441.

It is a happy number.

The square root of 14478827584 is 120328.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 12979589184 + 1499238400 = 113928^2 + 38720^2 .

It is a super-3 number, since 3×14478827584³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 162683412 + ... + 162683500.

Almost surely, 2^14478827584 is an apocalyptic number.

14478827584 is the 120328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14478827584

14478827584 is an abundant number, since it is smaller than the sum of its proper divisors (17000452993).

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

14478827584 is an frugal number, since it uses more digits than its factorization.

14478827584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 104 counting only the distinct ones).

The product of its digits is 16056320, while the sum is 58.

The spelling of 14478827584 in words is "fourteen billion, four hundred seventy-eight million, eight hundred twenty-seven thousand, five hundred eighty-four".