18204126494400 has 4536 divisors, whose sum is σ = 87999116914800. Its totient is φ = 3686396313600.

The previous prime is 18204126494363. The next prime is 18204126494419. The reversal of 18204126494400 is 449462140281.

18204126494400 is a `hidden beast` number, since 1 + 82 + 0 + 4 + 126 + 4 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 122175345526 + ... + 122175345674.

It is an arithmetic number, because the mean of its divisors is an integer number (19400158050).

Almost surely, 2^{18204126494400} is an apocalyptic number.

18204126494400 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 18204126494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999558457400).

18204126494400 is an abundant number, since it is smaller than the sum of its proper divisors (69794990420400).

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

18204126494400 is a wasteful number, since it uses less digits than its factorization.

18204126494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 18204126494400 in words is "eighteen trillion, two hundred four billion, one hundred twenty-six million, four hundred ninety-four thousand, four hundred".