921444343444129 has 8 divisors (see below), whose sum is σ = 931289484729960. Its totient is φ = 911613357648000.

The previous prime is 921444343444117. The next prime is 921444343444193.

It is a happy number.

921444343444129 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 463408284686400 + 458036058757729 = 21526920^2 + 21401777^2 .

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 921444343444129 - 2¹¹ = 921444343442081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (921444343444109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538741542 + ... + 3539001919.

It is an arithmetic number, because the mean of its divisors is an integer number (116411185591245).

Almost surely, 2^{921444343444129} is an apocalyptic number.

It is an amenable number.

921444343444129 is a deficient number, since it is larger than the sum of its proper divisors (9845141285831).

921444343444129 is a wasteful number, since it uses less digits than its factorization.

921444343444129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077744851.

The product of its digits is 47775744, while the sum is 58.

The spelling of 921444343444129 in words is "nine hundred twenty-one trillion, four hundred forty-four billion, three hundred forty-three million, four hundred forty-four thousand, one hundred twenty-nine".