18228419413776 has 360 divisors, whose sum is σ = 62882248867776. Its totient is φ = 4877167426560.

The previous prime is 18228419413751. The next prime is 18228419413777. The reversal of 18228419413776 is 67731491482281.

18228419413776 is a `hidden beast` number, since 1 + 82 + 2 + 8 + 419 + 4 + 137 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (18228419413777) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4676710 + ... + 7637306.

Almost surely, 2^{18228419413776} is an apocalyptic number.

18228419413776 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 18228419413776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31441124433888).

18228419413776 is an abundant number, since it is smaller than the sum of its proper divisors (44653829454000).

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

18228419413776 is a wasteful number, since it uses less digits than its factorization.

18228419413776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960671 (or 2960649 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 18228419413776 in words is "eighteen trillion, two hundred twenty-eight billion, four hundred nineteen million, four hundred thirteen thousand, seven hundred seventy-six".