18834040320 has 320 divisors, whose sum is σ = 63733063680. Its totient is φ = 4731568128.

The previous prime is 18834040307. The next prime is 18834040333. The reversal of 18834040320 is 2304043881.

It is an interprime number because it is at equal distance from previous prime (18834040307) and next prime (18834040333).

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 49174849 + ... + 49175231.

It is an arithmetic number, because the mean of its divisors is an integer number (199165824).

Almost surely, 2^18834040320 is an apocalyptic number.

18834040320 is a gapful number since it is divisible by the number (10) 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 18834040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31866531840).

18834040320 is an abundant number, since it is smaller than the sum of its proper divisors (44899023360).

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

18834040320 is a wasteful number, since it uses less digits than its factorization.

18834040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 18834040320 in words is "eighteen billion, eight hundred thirty-four million, forty thousand, three hundred twenty".