18427413312 has 504 divisors, whose sum is σ = 67160778048. Its totient is φ = 4728176640.

The previous prime is 18427413227. The next prime is 18427413331. The reversal of 18427413312 is 21331472481.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×18427413312² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52202128 + ... + 52202480.

It is an arithmetic number, because the mean of its divisors is an integer number (133255512).

Almost surely, 2^18427413312 is an apocalyptic number.

18427413312 is a gapful number since it is divisible by the number (12) 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 18427413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33580389024).

18427413312 is an abundant number, since it is smaller than the sum of its proper divisors (48733364736).

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

18427413312 is a wasteful number, since it uses less digits than its factorization.

18427413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 483 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

Adding to 18427413312 its reverse (21331472481), we get a palindrome (39758885793).

The spelling of 18427413312 in words is "eighteen billion, four hundred twenty-seven million, four hundred thirteen thousand, three hundred twelve".