18129218688 has 256 divisors, whose sum is σ = 63261216000. Its totient is φ = 5000970240.

The previous prime is 18129218669. The next prime is 18129218707. The reversal of 18129218688 is 88681292181.

It is an interprime number because it is at equal distance from previous prime (18129218669) and next prime (18129218707).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688648 + ... + 714488.

It is an arithmetic number, because the mean of its divisors is an integer number (247114125).

Almost surely, 2^18129218688 is an apocalyptic number.

18129218688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18129218688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31630608000).

18129218688 is an abundant number, since it is smaller than the sum of its proper divisors (45131997312).

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

18129218688 is a wasteful number, since it uses less digits than its factorization.

18129218688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25900 (or 25882 counting only the distinct ones).

The product of its digits is 884736, while the sum is 54.

The spelling of 18129218688 in words is "eighteen billion, one hundred twenty-nine million, two hundred eighteen thousand, six hundred eighty-eight".