67201748289 has 135 divisors (see below), whose sum is σ = 116746505967. Its totient is φ = 37230006528.

The previous prime is 67201748233. The next prime is 67201748333. The reversal of 67201748289 is 98284710276.

It is a happy number.

The square root of 67201748289 is 259233.

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

67201748289 is a `hidden beast` number, since 6 + 72 + 0 + 17 + 482 + 89 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 20499080625 + 46702667664 = 143175^2 + 216108^2 .

It is not a de Polignac number, because 67201748289 - 2⁷ = 67201748161 is a prime.

It is a super-2 number, since 2×67201748289² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67201741289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2921815132 + ... + 2921815154.

Almost surely, 2^67201748289 is an apocalyptic number.

67201748289 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

67201748289 is the 259233-rd square number.

67201748289 is the 129617-th centered octagonal number.

It is an amenable number.

67201748289 is a deficient number, since it is larger than the sum of its proper divisors (49544757678).

67201748289 is an equidigital number, since it uses as much as digits as its factorization.

67201748289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 67201748289 in words is "sixty-seven billion, two hundred one million, seven hundred forty-eight thousand, two hundred eighty-nine".