264948438048 has 288 divisors, whose sum is σ = 831376078848. Its totient is φ = 72360368640.

The previous prime is 264948438043. The next prime is 264948438077. The reversal of 264948438048 is 840834849462.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 264948437982 and 264948438000.

It is not an unprimeable number, because it can be changed into a prime (264948438043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53598265 + ... + 53603207.

It is an arithmetic number, because the mean of its divisors is an integer number (2886722496).

Almost surely, 2^264948438048 is an apocalyptic number.

264948438048 is a gapful number since it is divisible by the number (28) 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 264948438048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415688039424).

264948438048 is an abundant number, since it is smaller than the sum of its proper divisors (566427640800).

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

264948438048 is a wasteful number, since it uses less digits than its factorization.

264948438048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 264948438048 in words is "two hundred sixty-four billion, nine hundred forty-eight million, four hundred thirty-eight thousand, forty-eight".