18293343264 has 432 divisors, whose sum is σ = 64341871776. Its totient is φ = 5094835200.

The previous prime is 18293343193. The next prime is 18293343269. The reversal of 18293343264 is 46234339281.

18293343264 is a `hidden beast` number, since 1 + 8 + 293 + 34 + 326 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (18293343269) by changing a digit.

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, 15621399 + ... + 15622569.

It is an arithmetic number, because the mean of its divisors is an integer number (148939518).

Almost surely, 2^18293343264 is an apocalyptic number.

18293343264 is a gapful number since it is divisible by the number (14) 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 18293343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32170935888).

18293343264 is an abundant number, since it is smaller than the sum of its proper divisors (46048528512).

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

18293343264 is a wasteful number, since it uses less digits than its factorization.

18293343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1224 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 18293343264 in words is "eighteen billion, two hundred ninety-three million, three hundred forty-three thousand, two hundred sixty-four".