18446500800 has 756 divisors, whose sum is σ = 82174985256. Its totient is φ = 3890073600.

The previous prime is 18446500799. The next prime is 18446500801. The reversal of 18446500800 is 800564481.

It is an interprime number because it is at equal distance from previous prime (18446500799) and next prime (18446500801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18446500801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9171795 + ... + 9173805.

Almost surely, 2^18446500800 is an apocalyptic number.

18446500800 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 18446500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41087492628).

18446500800 is an abundant number, since it is smaller than the sum of its proper divisors (63728484456).

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

18446500800 is a wasteful number, since it uses less digits than its factorization.

18446500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 18446500800 in words is "eighteen billion, four hundred forty-six million, five hundred thousand, eight hundred".