18285856128 has 96 divisors (see below), whose sum is σ = 53021568600. Its totient is φ = 6048706560.

The previous prime is 18285856103. The next prime is 18285856151. The reversal of 18285856128 is 82165858281.

18285856128 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 58 + 561 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90328 + ... + 211496.

Almost surely, 2^18285856128 is an apocalyptic number.

18285856128 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 18285856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26510784300).

18285856128 is an abundant number, since it is smaller than the sum of its proper divisors (34735712472).

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

18285856128 is a wasteful number, since it uses less digits than its factorization.

18285856128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121320 (or 121305 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 54.

The spelling of 18285856128 in words is "eighteen billion, two hundred eighty-five million, eight hundred fifty-six thousand, one hundred twenty-eight".