66735414145736 has 48 divisors (see below), whose sum is σ = 154120351711500. Its totient is φ = 26918486375424.

The previous prime is 66735414145723. The next prime is 66735414145739. The reversal of 66735414145736 is 63754141453766.

It can be written as a sum of positive squares in 2 ways, for example, as 66682020800836 + 53393344900 = 8165906^2 + 231070^2 .

It is a super-2 number, since 2×66735414145736² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66735414145739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5007152261 + ... + 5007165588.

Almost surely, 2^{66735414145736} is an apocalyptic number.

It is an amenable number.

66735414145736 is an abundant number, since it is smaller than the sum of its proper divisors (87384937565764).

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

66735414145736 is a wasteful number, since it uses less digits than its factorization.

66735414145736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10014317886 (or 10014317875 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 62.

The spelling of 66735414145736 in words is "sixty-six trillion, seven hundred thirty-five billion, four hundred fourteen million, one hundred forty-five thousand, seven hundred thirty-six".