18129384756 has 216 divisors, whose sum is σ = 54829494720. Its totient is φ = 5033145600.

The previous prime is 18129384733. The next prime is 18129384787. The reversal of 18129384756 is 65748392181.

18129384756 is a `hidden beast` number, since 1 + 81 + 2 + 93 + 8 + 475 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31749951 + ... + 31750521.

Almost surely, 2^18129384756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18129384756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27414747360).

18129384756 is an abundant number, since it is smaller than the sum of its proper divisors (36700109964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18129384756 is a wasteful number, since it uses less digits than its factorization.

18129384756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1063 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 18129384756 in words is "eighteen billion, one hundred twenty-nine million, three hundred eighty-four thousand, seven hundred fifty-six".