18808448400 has 240 divisors, whose sum is σ = 76507900800. Its totient is φ = 4299056640.

The previous prime is 18808448377. The next prime is 18808448401. The reversal of 18808448400 is 484480881.

18808448400 is a `hidden beast` number, since 18 + 80 + 84 + 484 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18808448401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 48795 + ... + 199994.

It is an arithmetic number, because the mean of its divisors is an integer number (318782920).

Almost surely, 2^18808448400 is an apocalyptic number.

18808448400 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 18808448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38253950400).

18808448400 is an abundant number, since it is smaller than the sum of its proper divisors (57699452400).

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

18808448400 is a wasteful number, since it uses less digits than its factorization.

18808448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248823 (or 248806 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 18808448400 in words is "eighteen billion, eight hundred eight million, four hundred forty-eight thousand, four hundred".