264463514224 has 240 divisors, whose sum is σ = 665920045056. Its totient is φ = 100742745600.

The previous prime is 264463514221. The next prime is 264463514281. The reversal of 264463514224 is 422415364462.

264463514224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264463514221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66663889 + ... + 66667855.

Almost surely, 2^264463514224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264463514224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332960022528).

264463514224 is an abundant number, since it is smaller than the sum of its proper divisors (401456530832).

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

264463514224 is a wasteful number, since it uses less digits than its factorization.

264463514224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4231 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 43.

Adding to 264463514224 its reverse (422415364462), we get a palindrome (686878878686).

The spelling of 264463514224 in words is "two hundred sixty-four billion, four hundred sixty-three million, five hundred fourteen thousand, two hundred twenty-four".