18735313129 has 9 divisors (see below), whose sum is σ = 20289277893. Its totient is φ = 17292492672.

The previous prime is 18735313123. The next prime is 18735313133. The reversal of 18735313129 is 92131353781.

The square root of 18735313129 is 136877.

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 61544025 + 18673769104 = 7845^2 + 136652^2 .

It is a de Polignac number, because none of the positive numbers 2^k-18735313129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18735313123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1774137 + ... + 1784665.

Almost surely, 2^18735313129 is an apocalyptic number.

18735313129 is the 136877-th square number.

18735313129 is the 68439-th centered octagonal number.

It is an amenable number.

18735313129 is a deficient number, since it is larger than the sum of its proper divisors (1553964764).

18735313129 is an frugal number, since it uses more digits than its factorization.

18735313129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21084 (or 10542 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The spelling of 18735313129 in words is "eighteen billion, seven hundred thirty-five million, three hundred thirteen thousand, one hundred twenty-nine".