18831661056 has 768 divisors, whose sum is σ = 67365043200. Its totient is φ = 5138546688.

The previous prime is 18831661049. The next prime is 18831661061. The reversal of 18831661056 is 65016613881.

18831661056 is a `hidden beast` number, since 18 + 8 + 3 + 16 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 281069535 + ... + 281069601.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 2^18831661056 is an apocalyptic number.

18831661056 is a gapful number since it is divisible by the number (16) 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 18831661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33682521600).

18831661056 is an abundant number, since it is smaller than the sum of its proper divisors (48533382144).

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

18831661056 is a wasteful number, since it uses less digits than its factorization.

18831661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18831661056 in words is "eighteen billion, eight hundred thirty-one million, six hundred sixty-one thousand, fifty-six".