64343644059601 has 9 divisors (see below), whose sum is σ = 64396508683249. Its totient is φ = 64290822817936.

The previous prime is 64343644059533. The next prime is 64343644059619. The reversal of 64343644059601 is 10695044634346.

The square root of 64343644059601 is 8021449.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4812543450001 + 59531100609600 = 2193751^2 + 7715640^2 .

It is not a de Polignac number, because 64343644059601 - 2⁷ = 64343644059473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64343644059631) 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, 12938594751 + ... + 12938599723.

Almost surely, 2^{64343644059601} is an apocalyptic number.

64343644059601 is the 8021449-th square number.

64343644059601 is the 4010725-th centered octagonal number.

It is an amenable number.

64343644059601 is a deficient number, since it is larger than the sum of its proper divisors (52864623648).

64343644059601 is an frugal number, since it uses more digits than its factorization.

64343644059601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13172 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 55.

The spelling of 64343644059601 in words is "sixty-four trillion, three hundred forty-three billion, six hundred forty-four million, fifty-nine thousand, six hundred one".