18820766016 has 336 divisors, whose sum is σ = 60804982784. Its totient is φ = 5737568256.

The previous prime is 18820765969. The next prime is 18820766047. The reversal of 18820766016 is 61066702881.

It is a happy number.

18820766016 is a `hidden beast` number, since 18 + 8 + 20 + 7 + 6 + 601 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 25675986 + ... + 25676718.

Almost surely, 2^18820766016 is an apocalyptic number.

18820766016 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 18820766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30402491392).

18820766016 is an abundant number, since it is smaller than the sum of its proper divisors (41984216768).

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

18820766016 is a wasteful number, since it uses less digits than its factorization.

18820766016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18820766016 in words is "eighteen billion, eight hundred twenty million, seven hundred sixty-six thousand, sixteen".