18415894400 has 192 divisors, whose sum is σ = 48062400000. Its totient is φ = 6953195520.

The previous prime is 18415894397. The next prime is 18415894423. The reversal of 18415894400 is 449851481.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30338897 + ... + 30339503.

It is an arithmetic number, because the mean of its divisors is an integer number (250325000).

Almost surely, 2^18415894400 is an apocalyptic number.

18415894400 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 18415894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24031200000).

18415894400 is an abundant number, since it is smaller than the sum of its proper divisors (29646505600).

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

18415894400 is a wasteful number, since it uses less digits than its factorization.

18415894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 18415894400 in words is "eighteen billion, four hundred fifteen million, eight hundred ninety-four thousand, four hundred".