67641086241 has 9 divisors (see below), whose sum is σ = 97704918259. Its totient is φ = 45093537336.

The previous prime is 67641086159. The next prime is 67641086243. The reversal of 67641086241 is 14268014676.

The square root of 67641086241 is 260079.

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

67641086241 is a `hidden beast` number, since 6 + 7 + 6 + 4 + 10 + 8 + 624 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41463140625 + 26177945616 = 203625^2 + 161796^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 67641086241 - 2⁷ = 67641086113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67641086243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 736891 + ... + 823583.

Almost surely, 2^67641086241 is an apocalyptic number.

67641086241 is the 260079-th square number.

67641086241 is the 130040-th centered octagonal number.

It is an amenable number.

67641086241 is a deficient number, since it is larger than the sum of its proper divisors (30063832018).

67641086241 is an frugal number, since it uses more digits than its factorization.

67641086241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173392 (or 86696 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 67641086241 in words is "sixty-seven billion, six hundred forty-one million, eighty-six thousand, two hundred forty-one".