18894443904 has 576 divisors, whose sum is σ = 67721472000. Its totient is φ = 5026904064.

The previous prime is 18894443861. The next prime is 18894443941. The reversal of 18894443904 is 40934449881.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×18894443904² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 84728337 + ... + 84728559.

It is an arithmetic number, because the mean of its divisors is an integer number (117572000).

Almost surely, 2^18894443904 is an apocalyptic number.

18894443904 is a gapful number since it is divisible by the number (14) 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 18894443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860736000).

18894443904 is an abundant number, since it is smaller than the sum of its proper divisors (48827028096).

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

18894443904 is a wasteful number, since it uses less digits than its factorization.

18894443904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 18894443904 in words is "eighteen billion, eight hundred ninety-four million, four hundred forty-three thousand, nine hundred four".