67613337989289 has 15 divisors (see below), whose sum is σ = 101002751250247. Its totient is φ = 45075509323128.

The previous prime is 67613337989231. The next prime is 67613337989291. The reversal of 67613337989289 is 98298973331676.

The square root of 67613337989289 is 8222733.

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

67613337989289 is a `hidden beast` number, since 6 + 7 + 61 + 33 + 379 + 89 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16469271315225 + 51144066674064 = 4058235^2 + 7151508^2 .

It is not a de Polignac number, because 67613337989289 - 2³⁵ = 67578978250921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67613337919289) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 73547779 + ... + 74461415.

Almost surely, 2^{67613337989289} is an apocalyptic number.

67613337989289 is the 8222733-rd square number.

67613337989289 is the 4111367-th centered octagonal number.

It is an amenable number.

67613337989289 is a deficient number, since it is larger than the sum of its proper divisors (33389413260958).

67613337989289 is an frugal number, since it uses more digits than its factorization.

67613337989289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827286 (or 913640 counting only the distinct ones).

The product of its digits is 4444263936, while the sum is 81.

67613337989289 divided by its sum of digits (81) gives a square (834732567769 = 913637²).

The spelling of 67613337989289 in words is "sixty-seven trillion, six hundred thirteen billion, three hundred thirty-seven million, nine hundred eighty-nine thousand, two hundred eighty-nine".