18105611328 has 378 divisors, whose sum is σ = 63749775726. Its totient is φ = 4898009088.

The previous prime is 18105611299. The next prime is 18105611333. The reversal of 18105611328 is 82311650181.

18105611328 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 5 + 611 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15497262144 + 2608349184 = 124488^2 + 51072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18105611292 and 18105611301.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10187976 + ... + 10189752.

Almost surely, 2^18105611328 is an apocalyptic number.

18105611328 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 18105611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31874887863).

18105611328 is an abundant number, since it is smaller than the sum of its proper divisors (45644164398).

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

18105611328 is a wasteful number, since it uses less digits than its factorization.

18105611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 18105611328 in words is "eighteen billion, one hundred five million, six hundred eleven thousand, three hundred twenty-eight".