67349645862489 has 27 divisors (see below), whose sum is σ = 99714940052637. Its totient is φ = 43803991180800.

The previous prime is 67349645862481. The next prime is 67349645862517. The reversal of 67349645862489 is 98426854694376.

The square root of 67349645862489 is 8206683.

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

67349645862489 is a `hidden beast` number, since 6 + 7 + 3 + 4 + 9 + 6 + 4 + 586 + 24 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22477868012889 + 44871777849600 = 4741083^2 + 6698640^2 .

It is not a de Polignac number, because 67349645862489 - 2³ = 67349645862481 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67349645862481) 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, 1009388649 + ... + 1009455369.

Almost surely, 2^{67349645862489} is an apocalyptic number.

67349645862489 is the 8206683-rd square number.

67349645862489 is the 4103342-nd centered octagonal number.

It is an amenable number.

67349645862489 is a deficient number, since it is larger than the sum of its proper divisors (32365294190148).

67349645862489 is an frugal number, since it uses more digits than its factorization.

67349645862489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133530 (or 66765 counting only the distinct ones).

The product of its digits is 15049359360, while the sum is 81.

The spelling of 67349645862489 in words is "sixty-seven trillion, three hundred forty-nine billion, six hundred forty-five million, eight hundred sixty-two thousand, four hundred eighty-nine".