18229114800 has 600 divisors, whose sum is σ = 71264438784. Its totient is φ = 4435845120.

The previous prime is 18229114793. The next prime is 18229114817. The reversal of 18229114800 is 841192281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 47595409 + ... + 47595791.

Almost surely, 2^18229114800 is an apocalyptic number.

18229114800 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 18229114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35632219392).

18229114800 is an abundant number, since it is smaller than the sum of its proper divisors (53035323984).

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

18229114800 is a wasteful number, since it uses less digits than its factorization.

18229114800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 18229114800 in words is "eighteen billion, two hundred twenty-nine million, one hundred fourteen thousand, eight hundred".