264340213443124 has 384 divisors, whose sum is σ = 619065848217600. Its totient is φ = 95859685509120.

The previous prime is 264340213443121. The next prime is 264340213443139. The reversal of 264340213443124 is 421344312043462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264340213443121) 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 127 ways as a sum of consecutive naturals, for example, 10065872154 + ... + 10065898414.

It is an arithmetic number, because the mean of its divisors is an integer number (1612150646400).

Almost surely, 2^{264340213443124} 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 264340213443124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309532924108800).

264340213443124 is an abundant number, since it is smaller than the sum of its proper divisors (354725634774476).

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

264340213443124 is a wasteful number, since it uses less digits than its factorization.

264340213443124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26703 (or 26701 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 43.

Adding to 264340213443124 its reverse (421344312043462), we get a palindrome (685684525486586).

The spelling of 264340213443124 in words is "two hundred sixty-four trillion, three hundred forty billion, two hundred thirteen million, four hundred forty-three thousand, one hundred twenty-four".