18220294800 has 270 divisors, whose sum is σ = 65002153398. Its totient is φ = 4726149120.

The previous prime is 18220294793. The next prime is 18220294823. The reversal of 18220294800 is 849202281.

It can be written as a sum of positive squares in 9 ways, for example, as 1807610256 + 16412684544 = 42516^2 + 128112^2 .

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 53 ways as a sum of consecutive naturals, for example, 4926552 + ... + 4930248.

Almost surely, 2^18220294800 is an apocalyptic number.

18220294800 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 18220294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32501076699).

18220294800 is an abundant number, since it is smaller than the sum of its proper divisors (46781858598).

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

18220294800 is a wasteful number, since it uses less digits than its factorization.

18220294800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3744 counting only the distinct ones).

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

The spelling of 18220294800 in words is "eighteen billion, two hundred twenty million, two hundred ninety-four thousand, eight hundred".