64516108324864 has 117 divisors (see below), whose sum is σ = 150088749689277. Its totient is φ = 27648218529792.

The previous prime is 64516108324853. The next prime is 64516108324909. The reversal of 64516108324864 is 46842380161546.

The square root of 64516108324864 is 8032192.

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., 35614732324864 + 28901376000000 = 5967808^2 + 5376000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64516108324799 and 64516108324808.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3598413052 + ... + 3598430980.

Almost surely, 2^{64516108324864} is an apocalyptic number.

64516108324864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64516108324864 is the 8032192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64516108324864

64516108324864 is an abundant number, since it is smaller than the sum of its proper divisors (85572641364413).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64516108324864 is an frugal number, since it uses more digits than its factorization.

64516108324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35896 (or 17938 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 58.

The spelling of 64516108324864 in words is "sixty-four trillion, five hundred sixteen billion, one hundred eight million, three hundred twenty-four thousand, eight hundred sixty-four".