65967403985281 has 16 divisors (see below), whose sum is σ = 67785491302848. Its totient is φ = 64151172849600.

The previous prime is 65967403985209. The next prime is 65967403985297. The reversal of 65967403985281 is 18258930476956.

It is a cyclic number.

It is not a de Polignac number, because 65967403985281 - 2¹⁹ = 65967403460993 is a prime.

It is a super-2 number, since 2×65967403985281² (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 (65967403985201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1793500111 + ... + 1793536891.

It is an arithmetic number, because the mean of its divisors is an integer number (4236593206428).

It is a 2-persistent number, because it is pandigital, and so is 2⋅65967403985281 = 131934807970562, but 3⋅65967403985281 = 197902211955843 is not.

Almost surely, 2^{65967403985281} is an apocalyptic number.

It is an amenable number.

65967403985281 is a deficient number, since it is larger than the sum of its proper divisors (1818087317567).

65967403985281 is a wasteful number, since it uses less digits than its factorization.

65967403985281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60672.

The product of its (nonzero) digits is 783820800, while the sum is 73.

The spelling of 65967403985281 in words is "sixty-five trillion, nine hundred sixty-seven billion, four hundred three million, nine hundred eighty-five thousand, two hundred eighty-one".