18229785600 has 792 divisors, whose sum is σ = 70574337120. Its totient is φ = 4114022400.

The previous prime is 18229785589. The next prime is 18229785601. The reversal of 18229785600 is 658792281.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18229785600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18229785601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 588057585 + ... + 588057615.

Almost surely, 2^18229785600 is an apocalyptic number.

18229785600 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 18229785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35287168560).

18229785600 is an abundant number, since it is smaller than the sum of its proper divisors (52344551520).

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

18229785600 is a wasteful number, since it uses less digits than its factorization.

18229785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 18229785600 in words is "eighteen billion, two hundred twenty-nine million, seven hundred eighty-five thousand, six hundred".