14661822816641 has 96 divisors (see below), whose sum is σ = 20244716747136. Its totient is φ = 10436912640000.

The previous prime is 14661822816617. The next prime is 14661822816661.

14661822816641 is nontrivially palindromic in base 10.

14661822816641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-14661822816641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14661822816661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2776331921 + ... + 2776337201.

It is an arithmetic number, because the mean of its divisors is an integer number (210882466116).

Almost surely, 2^{14661822816641} is an apocalyptic number.

14661822816641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14661822816641 is a deficient number, since it is larger than the sum of its proper divisors (5582893930495).

14661822816641 is a wasteful number, since it uses less digits than its factorization.

14661822816641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343 (or 9336 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 56.

The spelling of 14661822816641 in words is "fourteen trillion, six hundred sixty-one billion, eight hundred twenty-two million, eight hundred sixteen thousand, six hundred forty-one".