18129006736 has 45 divisors (see below), whose sum is σ = 36046457419. Its totient is φ = 8832646400.

The previous prime is 18129006719. The next prime is 18129006773. The reversal of 18129006736 is 63760092181.

The square root of 18129006736 is 134644.

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 9323061136 + 8805945600 = 96556^2 + 93840^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18129006692 and 18129006701.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22081206 + ... + 22082026.

Almost surely, 2^18129006736 is an apocalyptic number.

18129006736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18129006736 is the 134644-th square number.

It is an amenable number.

18129006736 is a deficient number, since it is larger than the sum of its proper divisors (17917450683).

18129006736 is an frugal number, since it uses more digits than its factorization.

18129006736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 18129006736 in words is "eighteen billion, one hundred twenty-nine million, six thousand, seven hundred thirty-six".