64087648129 has 32 divisors (see below), whose sum is σ = 68559553440. Its totient is φ = 59798323200.

The previous prime is 64087648127. The next prime is 64087648139. The reversal of 64087648129 is 92184678046.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 57631204225 + 6456443904 = 240065^2 + 80352^2 .

It is a cyclic number.

It is not a de Polignac number, because 64087648129 - 2¹ = 64087648127 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64087648129.

It is not an unprimeable number, because it can be changed into a prime (64087648127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72743769 + ... + 72744649.

It is an arithmetic number, because the mean of its divisors is an integer number (2142486045).

Almost surely, 2^64087648129 is an apocalyptic number.

It is an amenable number.

64087648129 is a deficient number, since it is larger than the sum of its proper divisors (4471905311).

64087648129 is a wasteful number, since it uses less digits than its factorization.

64087648129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461.

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 64087648129 in words is "sixty-four billion, eighty-seven million, six hundred forty-eight thousand, one hundred twenty-nine".