14924066996224 has 45 divisors (see below), whose sum is σ = 29848212073281. Its totient is φ = 7461786255360.

The previous prime is 14924066996221. The next prime is 14924066996227. The reversal of 14924066996224 is 42269966042941.

The square root of 14924066996224 is 3863168.

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

It is an interprime number because it is at equal distance from previous prime (14924066996221) and next prime (14924066996227).

It can be written as a sum of positive squares in only one way, i.e., 6805670477824 + 8118396518400 = 2608768^2 + 2849280^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14924066996221) 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 2 ways as a sum of consecutive naturals, for example, 494470414 + ... + 494500594.

Almost surely, 2^{14924066996224} is an apocalyptic number.

14924066996224 is the 3863168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14924066996224

14924066996224 is an abundant number, since it is smaller than the sum of its proper divisors (14924145077057).

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

14924066996224 is an frugal number, since it uses more digits than its factorization.

14924066996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60390 (or 30183 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 64.

Multiplying 14924066996224 by its sum of digits (64), we get a square (955140287758336 = 30905344²).

14924066996224 divided by its sum of digits (64) gives a square (233188546816 = 482896²).

The spelling of 14924066996224 in words is "fourteen trillion, nine hundred twenty-four billion, sixty-six million, nine hundred ninety-six thousand, two hundred twenty-four".