14418181048384 has 189 divisors, whose sum is σ = 30176609230989. Its totient is φ = 6834830400000.

The previous prime is 14418181048379. The next prime is 14418181048393. The reversal of 14418181048384 is 48384018181441.

The square root of 14418181048384 is 3797128.

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

It can be written as a sum of positive squares in only one way, i.e., 468852433984 + 13949328614400 = 684728^2 + 3734880^2 .

It is a super-2 number, since 2×14418181048384² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57442952259 + ... + 57442952509.

Almost surely, 2^{14418181048384} is an apocalyptic number.

14418181048384 is the 3797128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14418181048384

14418181048384 is an abundant number, since it is smaller than the sum of its proper divisors (15758428182605).

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

14418181048384 is an frugal number, since it uses more digits than its factorization.

14418181048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 55.

The spelling of 14418181048384 in words is "fourteen trillion, four hundred eighteen billion, one hundred eighty-one million, forty-eight thousand, three hundred eighty-four".