264723114432 has 224 divisors, whose sum is σ = 829412006400. Its totient is φ = 72949174272.

The previous prime is 264723114349. The next prime is 264723114473. The reversal of 264723114432 is 234411327462.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4171194 + ... + 4234182.

Almost surely, 2^264723114432 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 264723114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414706003200).

264723114432 is an abundant number, since it is smaller than the sum of its proper divisors (564688891968).

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

264723114432 is a wasteful number, since it uses less digits than its factorization.

264723114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63123 (or 63113 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The spelling of 264723114432 in words is "two hundred sixty-four billion, seven hundred twenty-three million, one hundred fourteen thousand, four hundred thirty-two".