14880090230784 has 585 divisors, whose sum is σ = 45938788729911. Its totient is φ = 4799312363520.

The previous prime is 14880090230713. The next prime is 14880090230849. The reversal of 14880090230784 is 48703209008841.

It is a happy number.

The square root of 14880090230784 is 3857472.

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

14880090230784 is a `hidden beast` number, since 1 + 488 + 0 + 0 + 90 + 2 + 3 + 0 + 78 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 741527654400 + 14138562576384 = 861120^2 + 3760128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14880090230784.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82210443174 + ... + 82210443354.

Almost surely, 2^{14880090230784} is an apocalyptic number.

14880090230784 is the 3857472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14880090230784

14880090230784 is an abundant number, since it is smaller than the sum of its proper divisors (31058698499127).

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

14880090230784 is an frugal number, since it uses more digits than its factorization.

14880090230784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 14880090230784 in words is "fourteen trillion, eight hundred eighty billion, ninety million, two hundred thirty thousand, seven hundred eighty-four".