67417712867241 has 27 divisors (see below), whose sum is σ = 107039204806807. Its totient is φ = 40859055702960.

The previous prime is 67417712867207. The next prime is 67417712867261. The reversal of 67417712867241 is 14276821771476.

The square root of 67417712867241 is 8210829.

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

67417712867241 is a `hidden beast` number, since 6 + 7 + 41 + 7 + 71 + 286 + 7 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4802080563225 + 62615632304016 = 2191365^2 + 7913004^2 .

It is not a de Polignac number, because 67417712867241 - 2²⁷ = 67417578649513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67417712867201) 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, 270832951 + ... + 271081763.

Almost surely, 2^{67417712867241} is an apocalyptic number.

67417712867241 is the 8210829-th square number.

67417712867241 is the 4105415-th centered octagonal number.

It is an amenable number.

67417712867241 is a deficient number, since it is larger than the sum of its proper divisors (39621491939566).

67417712867241 is an frugal number, since it uses more digits than its factorization.

67417712867241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497654 (or 248827 counting only the distinct ones).

The product of its digits is 44255232, while the sum is 63.

The spelling of 67417712867241 in words is "sixty-seven trillion, four hundred seventeen billion, seven hundred twelve million, eight hundred sixty-seven thousand, two hundred forty-one".