14528294560000 has 405 divisors, whose sum is σ = 39293785088019. Its totient is φ = 5356975104000.

The previous prime is 14528294559979. The next prime is 14528294560009. The reversal of 14528294560000 is 6549282541.

The square root of 14528294560000 is 3811600.

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

It can be written as a sum of positive squares in 22 ways, for example, as 14508541944064 + 19752615936 = 3809008^2 + 140544^2 .

It is a super-2 number, since 2×14528294560000² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14528294560009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19820319634 + ... + 19820320366.

Almost surely, 2^{14528294560000} is an apocalyptic number.

14528294560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14528294560000 is the 3811600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14528294560000

14528294560000 is an abundant number, since it is smaller than the sum of its proper divisors (24765490528019).

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

14528294560000 is an frugal number, since it uses more digits than its factorization.

14528294560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 14528294560000 in words is "fourteen trillion, five hundred twenty-eight billion, two hundred ninety-four million, five hundred sixty thousand".