64838295241729 has 27 divisors (see below), whose sum is σ = 66723643098657. Its totient is φ = 63005424085800.

The previous prime is 64838295241721. The next prime is 64838295241739. The reversal of 64838295241729 is 92714259283846.

The square root of 64838295241729 is 8052223.

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

It is not a de Polignac number, because 64838295241729 - 2³ = 64838295241721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64838295241721) 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, 93832554274 + ... + 93832554964.

It is an arithmetic number, because the mean of its divisors is an integer number (2471246040691).

Almost surely, 2^{64838295241729} is an apocalyptic number.

64838295241729 is the 8052223-rd square number.

64838295241729 is the 4026112-nd centered octagonal number.

It is an amenable number.

64838295241729 is a deficient number, since it is larger than the sum of its proper divisors (1885347856928).

64838295241729 is an frugal number, since it uses more digits than its factorization.

64838295241729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1005 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 70.

The spelling of 64838295241729 in words is "sixty-four trillion, eight hundred thirty-eight billion, two hundred ninety-five million, two hundred forty-one thousand, seven hundred twenty-nine".