264114018 has 72 divisors (see below), whose sum is σ = 676725660. Its totient is φ = 74208960.

The previous prime is 264114013. The next prime is 264114061. The reversal of 264114018 is 810411462.

It is a happy number.

264114018 is a `hidden beast` number, since 2 + 641 + 1 + 4 + 0 + 18 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 263510289 + 603729 = 16233^2 + 777^2 .

It is a junction number, because it is equal to n+sod(n) for n = 264113982 and 264114000.

It is not an unprimeable number, because it can be changed into a prime (264114013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51348 + ... + 56256.

Almost surely, 2^264114018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264114018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338362830).

264114018 is an abundant number, since it is smaller than the sum of its proper divisors (412611642).

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

264114018 is a wasteful number, since it uses less digits than its factorization.

264114018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992 (or 4982 counting only the distinct ones).

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

The square root of 264114018 is about 16251.5850919226. The cubic root of 264114018 is about 641.5992053963.

The spelling of 264114018 in words is "two hundred sixty-four million, one hundred fourteen thousand, eighteen".