66135144040561 has 16 divisors (see below), whose sum is σ = 67091979369600. Its totient is φ = 65184614352000.

The previous prime is 66135144040541. The next prime is 66135144040571. The reversal of 66135144040561 is 16504044153166.

It is a cyclic number.

It is not a de Polignac number, because 66135144040561 - 2³⁷ = 65997705087089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66135144040541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512607061 + ... + 512736061.

It is an arithmetic number, because the mean of its divisors is an integer number (4193248710600).

Almost surely, 2^{66135144040561} is an apocalyptic number.

It is an amenable number.

66135144040561 is a deficient number, since it is larger than the sum of its proper divisors (956835329039).

66135144040561 is a wasteful number, since it uses less digits than its factorization.

66135144040561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153384.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 66135144040561 in words is "sixty-six trillion, one hundred thirty-five billion, one hundred forty-four million, forty thousand, five hundred sixty-one".