14685561856 has 99 divisors (see below), whose sum is σ = 34212966417. Its totient is φ = 6282178560.

The previous prime is 14685561853. The next prime is 14685561859. The reversal of 14685561856 is 65816558641.

It is a happy number.

The square root of 14685561856 is 121184.

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 (14685561853) and next prime (14685561859).

It can be written as a sum of positive squares in only one way, i.e., 5834515456 + 8851046400 = 76384^2 + 94080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14685561797 and 14685561806.

It is not an unprimeable number, because it can be changed into a prime (14685561853) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27144946 + ... + 27145486.

Almost surely, 2^14685561856 is an apocalyptic number.

14685561856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14685561856 is the 121184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14685561856

14685561856 is an abundant number, since it is smaller than the sum of its proper divisors (19527404561).

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

14685561856 is an frugal number, since it uses more digits than its factorization.

14685561856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 550 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 55.

The spelling of 14685561856 in words is "fourteen billion, six hundred eighty-five million, five hundred sixty-one thousand, eight hundred fifty-six".