14688785928961 has 8 divisors (see below), whose sum is σ = 14698571849000. Its totient is φ = 14679000403200.

The previous prime is 14688785928953. The next prime is 14688785928983. The reversal of 14688785928961 is 16982958788641.

It can be written as a sum of positive squares in 4 ways, for example, as 2115698247936 + 12573087681025 = 1454544^2 + 3545855^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14688785928961 - 2³ = 14688785928953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14688785928911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137480761 + ... + 137587561.

It is an arithmetic number, because the mean of its divisors is an integer number (1837321481125).

Almost surely, 2^{14688785928961} is an apocalyptic number.

It is an amenable number.

14688785928961 is a deficient number, since it is larger than the sum of its proper divisors (9785920039).

14688785928961 is a wasteful number, since it uses less digits than its factorization.

14688785928961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197139.

The product of its digits is 3344302080, while the sum is 82.

The spelling of 14688785928961 in words is "fourteen trillion, six hundred eighty-eight billion, seven hundred eighty-five million, nine hundred twenty-eight thousand, nine hundred sixty-one".