18240402825216 has 2352 divisors, whose sum is σ = 67950032239872. Its totient is φ = 4844460441600.

The previous prime is 18240402825209. The next prime is 18240402825283. The reversal of 18240402825216 is 61252820404281.

It is a happy number.

18240402825216 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 0 + 40 + 2 + 82 + 521 + 6 = 666.

It is a super-2 number, since 2×18240402825216² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 344158543846 + ... + 344158543898.

Almost surely, 2^{18240402825216} is an apocalyptic number.

18240402825216 is a gapful number since it is divisible by the number (16) 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 18240402825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33975016119936).

18240402825216 is an abundant number, since it is smaller than the sum of its proper divisors (49709629414656).

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

18240402825216 is an equidigital number, since it uses as much as digits as its factorization.

18240402825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 18240402825216 in words is "eighteen trillion, two hundred forty billion, four hundred two million, eight hundred twenty-five thousand, two hundred sixteen".