18274443264 has 896 divisors, whose sum is σ = 71718220800. Its totient is φ = 4459069440.

The previous prime is 18274443263. The next prime is 18274443307. The reversal of 18274443264 is 46234447281.

18274443264 is a `hidden beast` number, since 1 + 82 + 74 + 443 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18274443263) 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 63 ways as a sum of consecutive naturals, for example, 493903854 + ... + 493903890.

Almost surely, 2^18274443264 is an apocalyptic number.

18274443264 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 18274443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35859110400).

18274443264 is an abundant number, since it is smaller than the sum of its proper divisors (53443777536).

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

18274443264 is a wasteful number, since it uses less digits than its factorization.

18274443264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 18274443264 in words is "eighteen billion, two hundred seventy-four million, four hundred forty-three thousand, two hundred sixty-four".