3712854973129 has 9 divisors (see below), whose sum is σ = 3805702107061. Its totient is φ = 3622220459680.

The previous prime is 3712854973073. The next prime is 3712854973133. The reversal of 3712854973129 is 9213794582173.

The square root of 3712854973129 is 1926877.

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 1164834525625 + 2548020447504 = 1079275^2 + 1596252^2 .

It is not a de Polignac number, because 3712854973129 - 2²⁵ = 3712821418697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3712854973169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78978459 + ... + 79025455.

Almost surely, 2^{3712854973129} is an apocalyptic number.

3712854973129 is the 1926877-th square number.

3712854973129 is the 963439-th centered octagonal number.

It is an amenable number.

3712854973129 is a deficient number, since it is larger than the sum of its proper divisors (92847133932).

3712854973129 is an frugal number, since it uses more digits than its factorization.

3712854973129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94076 (or 47038 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 61.

The spelling of 3712854973129 in words is "three trillion, seven hundred twelve billion, eight hundred fifty-four million, nine hundred seventy-three thousand, one hundred twenty-nine".