21322432144001 has 8 divisors (see below), whose sum is σ = 22637220191784. Its totient is φ = 20014369355520.

The previous prime is 21322432143989. The next prime is 21322432144019. The reversal of 21322432144001 is 10044123422312.

It can be written as a sum of positive squares in 4 ways, for example, as 3116721899776 + 18205710244225 = 1765424^2 + 4266815^2 .

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 21322432144001 - 2¹⁴ = 21322432127617 is a prime.

It is a super-2 number, since 2×21322432144001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21322462144001) 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, 1681308290 + ... + 1681320971.

It is an arithmetic number, because the mean of its divisors is an integer number (2829652523973).

Almost surely, 2^{21322432144001} is an apocalyptic number.

It is an amenable number.

21322432144001 is a deficient number, since it is larger than the sum of its proper divisors (1314788047783).

21322432144001 is a wasteful number, since it uses less digits than its factorization.

21322432144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362629651.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 21322432144001 its reverse (10044123422312), we get a palindrome (31366555566313).

The spelling of 21322432144001 in words is "twenty-one trillion, three hundred twenty-two billion, four hundred thirty-two million, one hundred forty-four thousand, one".