14863656960 has 144 divisors (see below), whose sum is σ = 51515083620. Its totient is φ = 3963617280.

The previous prime is 14863656949. The next prime is 14863656967. The reversal of 14863656960 is 6965636841.

14863656960 is a `hidden beast` number, since 1 + 48 + 6 + 36 + 569 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14561731584 + 301925376 = 120672^2 + 17376^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 14863656897 and 14863656906.

It is not an unprimeable number, because it can be changed into a prime (14863656967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11520 + ... + 172800.

Almost surely, 2^14863656960 is an apocalyptic number.

14863656960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14863656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25757541810).

14863656960 is an abundant number, since it is smaller than the sum of its proper divisors (36651426660).

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

14863656960 is a wasteful number, since it uses less digits than its factorization.

14863656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161314 (or 161291 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 14863656960 in words is "fourteen billion, eight hundred sixty-three million, six hundred fifty-six thousand, nine hundred sixty".