64000000000001 has 64 divisors (see below), whose sum is σ = 74337506058816. Its totient is φ = 54576621158400.

The previous prime is 63999999999997. The next prime is 64000000000007. The reversal of 64000000000001 is 10000000000046.

It is a Cunningham number, because it is equal to 200⁶+1.

It can be written as a sum of positive squares in 32 ways, for example, as 35261566041025 + 28738433958976 = 5938145^2 + 5360824^2 .

It is a cyclic number.

It is not a de Polignac number, because 64000000000001 - 2² = 63999999999997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63999999999892 and 63999999999901.

It is not an unprimeable number, because it can be changed into a prime (64000000000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1447254071 + ... + 1447298291.

It is an arithmetic number, because the mean of its divisors is an integer number (1161523532169).

Almost surely, 2^{64000000000001} is an apocalyptic number.

It is an amenable number.

64000000000001 is a deficient number, since it is larger than the sum of its proper divisors (10337506058815).

64000000000001 is a wasteful number, since it uses less digits than its factorization.

64000000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44902.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 64000000000001 its reverse (10000000000046), we get a palindrome (74000000000047).

The spelling of 64000000000001 in words is "sixty-four trillion, one", and thus it is an aban number.