14168621959129 has 27 divisors (see below), whose sum is σ = 16544589356701. Its totient is φ = 12122282839040.

The previous prime is 14168621959127. The next prime is 14168621959139. The reversal of 14168621959129 is 92195912686141.

The square root of 14168621959129 is 3764123.

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 6656374200025 + 7512247759104 = 2579995^2 + 2740848^2 .

It is not a de Polignac number, because 14168621959129 - 2¹ = 14168621959127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14168621959127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 703880937 + ... + 703901065.

Almost surely, 2^{14168621959129} is an apocalyptic number.

14168621959129 is the 3764123-rd square number.

14168621959129 is the 1882062-nd centered octagonal number.

It is an amenable number.

14168621959129 is a deficient number, since it is larger than the sum of its proper divisors (2375967397572).

14168621959129 is an frugal number, since it uses more digits than its factorization.

14168621959129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40314 (or 20157 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 64.

Multiplying 14168621959129 by its sum of digits (64), we get a square (906791805384256 = 30112984²).

It can be divided in two parts, 14168621 and 959129, that added together give a triangular number (15127750 = T₅₅₀₀).

The spelling of 14168621959129 in words is "fourteen trillion, one hundred sixty-eight billion, six hundred twenty-one million, nine hundred fifty-nine thousand, one hundred twenty-nine".