2629674127129 has 9 divisors (see below), whose sum is σ = 3059021883231. Its totient is φ = 2253996664920.

The previous prime is 2629674127043. The next prime is 2629674127193. The reversal of 2629674127129 is 9217214769262.

The square root of 2629674127129 is 1621627.

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., 1055803515529 + 1573870611600 = 1027523^2 + 1254540^2 .

It is not a de Polignac number, because 2629674127129 - 2¹⁷ = 2629673996057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2629674127229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11235559 + ... + 11467219.

It is an arithmetic number, because the mean of its divisors is an integer number (339891320359).

Almost surely, 2^{2629674127129} is an apocalyptic number.

2629674127129 is the 1621627-th square number.

2629674127129 is the 810814-th centered octagonal number.

It is an amenable number.

2629674127129 is a deficient number, since it is larger than the sum of its proper divisors (429347756102).

2629674127129 is an frugal number, since it uses more digits than its factorization.

2629674127129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463336 (or 231668 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 58.

The spelling of 2629674127129 in words is "two trillion, six hundred twenty-nine billion, six hundred seventy-four million, one hundred twenty-seven thousand, one hundred twenty-nine".