18435224371200 has 1800 divisors, whose sum is σ = 79686673351488. Its totient is φ = 3720515420160.

The previous prime is 18435224371163. The next prime is 18435224371211. The reversal of 18435224371200 is 217342253481.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 801531494389 + ... + 801531494411.

Almost surely, 2^{18435224371200} is an apocalyptic number.

18435224371200 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 18435224371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39843336675744).

18435224371200 is an abundant number, since it is smaller than the sum of its proper divisors (61251448980288).

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

18435224371200 is an frugal number, since it uses more digits than its factorization.

18435224371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 18435224371200 in words is "eighteen trillion, four hundred thirty-five billion, two hundred twenty-four million, three hundred seventy-one thousand, two hundred".