4164250012713 has 60 divisors (see below), whose sum is σ = 7081496098820. Its totient is φ = 2357739171648.

The previous prime is 4164250012687. The next prime is 4164250012729. The reversal of 4164250012713 is 3172100524614.

4164250012713 is a `hidden beast` number, since 4 + 1 + 642 + 5 + 0 + 0 + 1 + 2 + 7 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2947446876969 + 1216803135744 = 1716813^2 + 1103088^2 .

It is not a de Polignac number, because 4164250012713 - 2¹⁰ = 4164250011689 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4164250014713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1471395 + ... + 3239367.

Almost surely, 2^{4164250012713} is an apocalyptic number.

It is an amenable number.

4164250012713 is a deficient number, since it is larger than the sum of its proper divisors (2917246086107).

4164250012713 is a wasteful number, since it uses less digits than its factorization.

4164250012713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768116 (or 1768092 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 4164250012713 in words is "four trillion, one hundred sixty-four billion, two hundred fifty million, twelve thousand, seven hundred thirteen".