16965611656961 has 8 divisors (see below), whose sum is σ = 18649221975648. Its totient is φ = 15305548336000.

The previous prime is 16965611656937. The next prime is 16965611656963.

16965611656961 is nontrivially palindromic in base 10.

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 16965611656961 - 2²⁶ = 16965544548097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16965611656891 and 16965611656900.

It is not an unprimeable number, because it can be changed into a prime (16965611656963) 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, 5886747920 + ... + 5886750801.

It is an arithmetic number, because the mean of its divisors is an integer number (2331152746956).

Almost surely, 2^{16965611656961} is an apocalyptic number.

16965611656961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16965611656961 is a deficient number, since it is larger than the sum of its proper divisors (1683610318687).

16965611656961 is a wasteful number, since it uses less digits than its factorization.

16965611656961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11773498863.

The product of its digits is 94478400, while the sum is 68.

The spelling of 16965611656961 in words is "sixteen trillion, nine hundred sixty-five billion, six hundred eleven million, six hundred fifty-six thousand, nine hundred sixty-one".