18414390816 has 144 divisors (see below), whose sum is σ = 55209248640. Its totient is φ = 5805872640.

The previous prime is 18414390811. The next prime is 18414390833. The reversal of 18414390816 is 61809341481.

18414390816 is a `hidden beast` number, since 184 + 1 + 4 + 390 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (18414390811) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4008681 + ... + 4013271.

It is an arithmetic number, because the mean of its divisors is an integer number (383397560).

Almost surely, 2^18414390816 is an apocalyptic number.

18414390816 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 18414390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27604624320).

18414390816 is an abundant number, since it is smaller than the sum of its proper divisors (36794857824).

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

18414390816 is a wasteful number, since it uses less digits than its factorization.

18414390816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18414390816 in words is "eighteen billion, four hundred fourteen million, three hundred ninety thousand, eight hundred sixteen".