18129412 has 36 divisors (see below), whose sum is σ = 39084444. Its totient is φ = 7311360.

The previous prime is 18129409. The next prime is 18129413. The reversal of 18129412 is 21492181.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 4468996 = 3696^2 + 2114^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (18129413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612 + ... + 6052.

It is an arithmetic number, because the mean of its divisors is an integer number (1085679).

Almost surely, 2^18129412 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 18129412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19542222).

18129412 is an abundant number, since it is smaller than the sum of its proper divisors (20955032).

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

18129412 is a wasteful number, since it uses less digits than its factorization.

18129412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5467 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 18129412 is about 4257.8647230742. The cubic root of 18129412 is about 262.7007057619.

Adding to 18129412 its product of digits (1152), we get a square (18130564 = 4258²).

The spelling of 18129412 in words is "eighteen million, one hundred twenty-nine thousand, four hundred twelve".