18849024000 has 672 divisors, whose sum is σ = 71219486520. Its totient is φ = 4976640000.

The previous prime is 18849023987. The next prime is 18849024037. The reversal of 18849024000 is 42094881.

It can be written as a sum of positive squares in 4 ways, for example, as 10929447936 + 7919576064 = 104544^2 + 88992^2 .

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186623950 + ... + 186624050.

Almost surely, 2^18849024000 is an apocalyptic number.

18849024000 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 18849024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35609743260).

18849024000 is an abundant number, since it is smaller than the sum of its proper divisors (52370462520).

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

18849024000 is an frugal number, since it uses more digits than its factorization.

18849024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18849024000 in words is "eighteen billion, eight hundred forty-nine million, twenty-four thousand".