14738320258704 has 225 divisors, whose sum is σ = 48125805887913. Its totient is φ = 4210303684608.

The previous prime is 14738320258699. The next prime is 14738320258729. The reversal of 14738320258704 is 40785202383741.

It is a happy number.

The square root of 14738320258704 is 3839052.

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

14738320258704 is a `hidden beast` number, since 1 + 4 + 7 + 38 + 3 + 20 + 2 + 587 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1275878684304 + 13462441574400 = 1129548^2 + 3669120^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2257359312 + ... + 2257365840.

Almost surely, 2^{14738320258704} is an apocalyptic number.

14738320258704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14738320258704 is the 3839052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14738320258704

14738320258704 is an abundant number, since it is smaller than the sum of its proper divisors (33387485629209).

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

14738320258704 is an frugal number, since it uses more digits than its factorization.

14738320258704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 14738320258704 in words is "fourteen trillion, seven hundred thirty-eight billion, three hundred twenty million, two hundred fifty-eight thousand, seven hundred four".