14852460424321 has 81 divisors (see below), whose sum is σ = 16978747401801. Its totient is φ = 12986064374400.

The previous prime is 14852460424313. The next prime is 14852460424337. The reversal of 14852460424321 is 12342406425841.

The square root of 14852460424321 is 3853889.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1494166414321 + 13358294010000 = 1222361^2 + 3654900^2 .

It is not a de Polignac number, because 14852460424321 - 2³ = 14852460424313 is a prime.

It is a super-2 number, since 2×14852460424321² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14852460424301) 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 80 ways as a sum of consecutive naturals, for example, 113377560426 + ... + 113377560556.

Almost surely, 2^{14852460424321} is an apocalyptic number.

14852460424321 is the 3853889-th square number.

14852460424321 is the 1926945-th centered octagonal number.

It is an amenable number.

14852460424321 is a deficient number, since it is larger than the sum of its proper divisors (2126286977480).

14852460424321 is an frugal number, since it uses more digits than its factorization.

14852460424321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

The spelling of 14852460424321 in words is "fourteen trillion, eight hundred fifty-two billion, four hundred sixty million, four hundred twenty-four thousand, three hundred twenty-one".