19437878963281 has 9 divisors (see below), whose sum is σ = 20131395886641. Its totient is φ = 18767483827344.

The previous prime is 19437878963233. The next prime is 19437878963341. The reversal of 19437878963281 is 18236987873491.

The square root of 19437878963281 is 4408841.

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

It can be written as a sum of positive squares in 4 ways, for example, as 542860977681 + 18895017985600 = 736791^2 + 4346840^2 .

It is not a de Polignac number, because 19437878963281 - 2²³ = 19437870574673 is a prime.

It is a super-2 number, since 2×19437878963281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19437878963198 and 19437878963207.

It is not an unprimeable number, because it can be changed into a prime (19437878964281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127780375 + ... + 127932403.

Almost surely, 2^{19437878963281} is an apocalyptic number.

19437878963281 is the 4408841-st square number.

19437878963281 is the 2204421-st centered octagonal number.

It is an amenable number.

19437878963281 is a deficient number, since it is larger than the sum of its proper divisors (693516923360).

19437878963281 is an frugal number, since it uses more digits than its factorization.

19437878963281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304116 (or 152058 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 76.

The spelling of 19437878963281 in words is "nineteen trillion, four hundred thirty-seven billion, eight hundred seventy-eight million, nine hundred sixty-three thousand, two hundred eighty-one".