14860585216 has 81 divisors (see below), whose sum is σ = 31384773273. Its totient is φ = 7021670400.

The previous prime is 14860585199. The next prime is 14860585219. The reversal of 14860585216 is 61258506841.

The square root of 14860585216 is 121904.

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., 14712719616 + 147865600 = 121296^2 + 12160^2 .

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 (14860585219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37058616 + ... + 37059016.

Almost surely, 2^14860585216 is an apocalyptic number.

14860585216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14860585216 is the 121904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14860585216

14860585216 is an abundant number, since it is smaller than the sum of its proper divisors (16524188057).

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

14860585216 is an frugal number, since it uses more digits than its factorization.

14860585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 14860585216 in words is "fourteen billion, eight hundred sixty million, five hundred eighty-five thousand, two hundred sixteen".