19441124005681 has 27 divisors (see below), whose sum is σ = 22893956702571. Its totient is φ = 16460882322864.

The previous prime is 19441124005643. The next prime is 19441124005703. The reversal of 19441124005681 is 18650042114491.

It is a happy number.

The square root of 19441124005681 is 4409209.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 250241058081 + 19190882947600 = 500241^2 + 4380740^2 .

It is not a de Polignac number, because 19441124005681 - 2¹¹ = 19441124003633 is a prime.

It is a super-2 number, since 2×19441124005681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19441124000681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2561746635 + ... + 2561754223.

Almost surely, 2^{19441124005681} is an apocalyptic number.

19441124005681 is the 4409209-th square number.

19441124005681 is the 2204605-th centered octagonal number.

It is an amenable number.

19441124005681 is a deficient number, since it is larger than the sum of its proper divisors (3452832696890).

19441124005681 is an frugal number, since it uses more digits than its factorization.

19441124005681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15358 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 19441124005681 in words is "nineteen trillion, four hundred forty-one billion, one hundred twenty-four million, five thousand, six hundred eighty-one".