4658142342529 has 9 divisors (see below), whose sum is σ = 5044054338729. Its totient is φ = 4299797801520.

The previous prime is 4658142342467. The next prime is 4658142342671. The reversal of 4658142342529 is 9252432418564.

It is a happy number.

The square root of 4658142342529 is 2158273.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2669906980225 + 1988235362304 = 1633985^2 + 1410048^2 .

It is not a de Polignac number, because 4658142342529 - 2⁹ = 4658142342017 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 4658142342529.

It is not an unprimeable number, because it can be changed into a prime (4658149342529) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27974539 + ... + 28140559.

It is an arithmetic number, because the mean of its divisors is an integer number (560450482081).

Almost surely, 2^{4658142342529} is an apocalyptic number.

4658142342529 is the 2158273-rd square number.

4658142342529 is the 1079137-th centered octagonal number.

It is an amenable number.

4658142342529 is a deficient number, since it is larger than the sum of its proper divisors (385911996200).

4658142342529 is an frugal number, since it uses more digits than its factorization.

4658142342529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332068 (or 166034 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 55.

The spelling of 4658142342529 in words is "four trillion, six hundred fifty-eight billion, one hundred forty-two million, three hundred forty-two thousand, five hundred twenty-nine".