18003148800 has 1080 divisors, whose sum is σ = 77816644416. Its totient is φ = 3633315840.

The previous prime is 18003148799. The next prime is 18003148817. The reversal of 18003148800 is 884130081.

It is a happy number.

It is a super-2 number, since 2×18003148800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 782745589 + ... + 782745611.

Almost surely, 2^18003148800 is an apocalyptic number.

18003148800 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 18003148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38908322208).

18003148800 is an abundant number, since it is smaller than the sum of its proper divisors (59813495616).

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

18003148800 is a wasteful number, since it uses less digits than its factorization.

18003148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

Adding to 18003148800 its reverse (884130081), we get a palindrome (18887278881).

The spelling of 18003148800 in words is "eighteen billion, three million, one hundred forty-eight thousand, eight hundred".