18113414400 has 648 divisors, whose sum is σ = 70808002720. Its totient is φ = 4568555520.

The previous prime is 18113414399. The next prime is 18113414401. The reversal of 18113414400 is 441431181.

18113414400 is a `hidden beast` number, since 181 + 1 + 3 + 41 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18113414399) and next prime (18113414401).

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×18113414400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18113414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29548494 + ... + 29549106.

Almost surely, 2^18113414400 is an apocalyptic number.

18113414400 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 18113414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35404001360).

18113414400 is an abundant number, since it is smaller than the sum of its proper divisors (52694588320).

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

18113414400 is an equidigital number, since it uses as much as digits as its factorization.

18113414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 18113414400 its reverse (441431181), we get a palindrome (18554845581).

The spelling of 18113414400 in words is "eighteen billion, one hundred thirteen million, four hundred fourteen thousand, four hundred".