18800406144 has 192 divisors, whose sum is σ = 58514656200. Its totient is φ = 5759631360.

The previous prime is 18800406137. The next prime is 18800406187. The reversal of 18800406144 is 44160400881.

It can be written as a sum of positive squares in 4 ways, for example, as 18472071744 + 328334400 = 135912^2 + 18120^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18800406099 and 18800406108.

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, 3606612 + ... + 3611820.

Almost surely, 2^18800406144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18800406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29257328100).

18800406144 is an abundant number, since it is smaller than the sum of its proper divisors (39714250056).

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

18800406144 is a wasteful number, since it uses less digits than its factorization.

18800406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18800406144 in words is "eighteen billion, eight hundred million, four hundred six thousand, one hundred forty-four".