14013781348961 has 16 divisors (see below), whose sum is σ = 15007301740800. Its totient is φ = 13046034157200.

The previous prime is 14013781348949. The next prime is 14013781348979. The reversal of 14013781348961 is 16984318731041.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-14013781348961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14013781348897 and 14013781348906.

It is not an unprimeable number, because it can be changed into a prime (14013781348921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367646 + ... + 5306856.

It is an arithmetic number, because the mean of its divisors is an integer number (937956358800).

Almost surely, 2^{14013781348961} is an apocalyptic number.

It is an amenable number.

14013781348961 is a deficient number, since it is larger than the sum of its proper divisors (993520391839).

14013781348961 is a wasteful number, since it uses less digits than its factorization.

14013781348961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941820.

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 14013781348961 in words is "fourteen trillion, thirteen billion, seven hundred eighty-one million, three hundred forty-eight thousand, nine hundred sixty-one".