67271311244281 has 9 divisors (see below), whose sum is σ = 68564972819469. Its totient is φ = 66001614721536.

The previous prime is 67271311244251. The next prime is 67271311244297. The reversal of 67271311244281 is 18244211317276.

The square root of 67271311244281 is 8201909.

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 37717518648681 + 29553792595600 = 6141459^2 + 5436340^2 .

It is not a de Polignac number, because 67271311244281 - 2¹⁵ = 67271311211513 is a prime.

It is a super-2 number, since 2×67271311244281² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67271311244251) 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, 434623801 + ... + 434778553.

Almost surely, 2^{67271311244281} is an apocalyptic number.

67271311244281 is the 8201909-th square number.

67271311244281 is the 4100955-th centered octagonal number.

It is an amenable number.

67271311244281 is a deficient number, since it is larger than the sum of its proper divisors (1293661575188).

67271311244281 is an frugal number, since it uses more digits than its factorization.

67271311244281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309612 (or 154806 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The spelling of 67271311244281 in words is "sixty-seven trillion, two hundred seventy-one billion, three hundred eleven million, two hundred forty-four thousand, two hundred eighty-one".