18413404416 has 243 divisors, whose sum is σ = 58583494333. Its totient is φ = 5558108160.

The previous prime is 18413404403. The next prime is 18413404417. The reversal of 18413404416 is 61440431481.

It is a happy number.

The square root of 18413404416 is 135696.

It is a perfect power (a square), and thus also a powerful number.

18413404416 is a `hidden beast` number, since 1 + 84 + 134 + 0 + 441 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18127929600 + 285474816 = 134640^2 + 16896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18413404417) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71647360 + ... + 71647616.

Almost surely, 2^18413404416 is an apocalyptic number.

18413404416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18413404416 is the 135696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18413404416

18413404416 is an abundant number, since it is smaller than the sum of its proper divisors (40170089917).

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

18413404416 is an equidigital number, since it uses as much as digits as its factorization.

18413404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 18413404416 by its sum of digits (36), we get a square (662882558976 = 814176²).

18413404416 divided by its sum of digits (36) gives a square (511483456 = 22616²).

Multiplying 18413404416 by its product of nonzero digits (36864), we get a square (678791740391424 = 26053632²).

Adding to 18413404416 its reverse (61440431481), we get a palindrome (79853835897).

The spelling of 18413404416 in words is "eighteen billion, four hundred thirteen million, four hundred four thousand, four hundred sixteen".