18014061225600 has 672 divisors, whose sum is σ = 72785579415840. Its totient is φ = 4367038924800.

The previous prime is 18014061225553. The next prime is 18014061225617. The reversal of 18014061225600 is 652216041081.

It is a happy number.

18014061225600 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 40 + 6 + 1 + 2 + 2 + 5 + 600 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 25309797 + ... + 26011803.

Almost surely, 2^{18014061225600} is an apocalyptic number.

18014061225600 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 18014061225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36392789707920).

18014061225600 is an abundant number, since it is smaller than the sum of its proper divisors (54771518190240).

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

18014061225600 is an equidigital number, since it uses as much as digits as its factorization.

18014061225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702060 (or 702028 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 18014061225600 its reverse (652216041081), we get a palindrome (18666277266681).

The spelling of 18014061225600 in words is "eighteen trillion, fourteen billion, sixty-one million, two hundred twenty-five thousand, six hundred".