67850623648201 has 27 divisors (see below), whose sum is σ = 68923867913607. Its totient is φ = 66794052783120.

The previous prime is 67850623648187. The next prime is 67850623648207. The reversal of 67850623648201 is 10284632605876.

The square root of 67850623648201 is 8237149.

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

It can be written as a sum of positive squares in only one way, i.e., 11694724260025 + 56155899388176 = 3419755^2 + 7493724^2 .

It is a de Polignac number, because none of the positive numbers 2^k-67850623648201 is a prime.

It is a super-2 number, since 2×67850623648201² (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 (67850623648207) 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, 244948099675 + ... + 244948099951.

Almost surely, 2^{67850623648201} is an apocalyptic number.

67850623648201 is the 8237149-th square number.

67850623648201 is the 4118575-th centered octagonal number.

It is an amenable number.

67850623648201 is a deficient number, since it is larger than the sum of its proper divisors (1073244265406).

67850623648201 is an frugal number, since it uses more digits than its factorization.

67850623648201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 67850623648201 in words is "sixty-seven trillion, eight hundred fifty billion, six hundred twenty-three million, six hundred forty-eight thousand, two hundred one".