31870800848929 has 81 divisors (see below), whose sum is σ = 38773805798259. Its totient is φ = 26119791502560.

The previous prime is 31870800848899. The next prime is 31870800848947. The reversal of 31870800848929 is 92984800807813.

The square root of 31870800848929 is 5645423.

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

It can be written as a sum of positive squares in only one way, i.e., 28518430270225 + 3352370578704 = 5340265^2 + 1830948^2 .

It is not a de Polignac number, because 31870800848929 - 2²⁹ = 31870263978017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31870800843929) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 103813683394 + ... + 103813683700.

Almost surely, 2^{31870800848929} is an apocalyptic number.

31870800848929 is the 5645423-rd square number.

31870800848929 is the 2822712-nd centered octagonal number.

It is an amenable number.

31870800848929 is a deficient number, since it is larger than the sum of its proper divisors (6903004949330).

31870800848929 is an frugal number, since it uses more digits than its factorization.

31870800848929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 67.

The spelling of 31870800848929 in words is "thirty-one trillion, eight hundred seventy billion, eight hundred million, eight hundred forty-eight thousand, nine hundred twenty-nine".