21968058781441 has 8 divisors (see below), whose sum is σ = 22040825123304. Its totient is φ = 21895314241920.

The previous prime is 21968058781423. The next prime is 21968058781457. The reversal of 21968058781441 is 14418785086912.

It can be written as a sum of positive squares in 4 ways, for example, as 2431481981041 + 19536576800400 = 1559321^2 + 4420020^2 .

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 21968058781441 - 2⁹ = 21968058780929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21968058781481) 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, 3430810 + ... + 7463683.

It is an arithmetic number, because the mean of its divisors is an integer number (2755103140413).

Almost surely, 2^{21968058781441} is an apocalyptic number.

It is an amenable number.

21968058781441 is a deficient number, since it is larger than the sum of its proper divisors (72766341863).

21968058781441 is a wasteful number, since it uses less digits than its factorization.

21968058781441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901171.

The product of its (nonzero) digits is 30965760, while the sum is 64.

The spelling of 21968058781441 in words is "twenty-one trillion, nine hundred sixty-eight billion, fifty-eight million, seven hundred eighty-one thousand, four hundred forty-one".