18765686016 has 1080 divisors, whose sum is σ = 75111309504. Its totient is φ = 4598415360.

The previous prime is 18765686003. The next prime is 18765686063. The reversal of 18765686016 is 61068656781.

18765686016 is a `hidden beast` number, since 1 + 8 + 7 + 6 + 568 + 60 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257064156 + ... + 257064228.

Almost surely, 2^18765686016 is an apocalyptic number.

18765686016 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 18765686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37555654752).

18765686016 is an abundant number, since it is smaller than the sum of its proper divisors (56345623488).

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

18765686016 is a wasteful number, since it uses less digits than its factorization.

18765686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 18765686016 in words is "eighteen billion, seven hundred sixty-five million, six hundred eighty-six thousand, sixteen".