813241004448 has 48 divisors (see below), whose sum is σ = 2260331619840. Its totient is φ = 255134432256.

The previous prime is 813241004447. The next prime is 813241004449. The reversal of 813241004448 is 844400142318.

813241004448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (813241004447) and next prime (813241004449).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×813241004448² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813241004447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249153088 + ... + 249156351.

It is an arithmetic number, because the mean of its divisors is an integer number (47090242080).

Almost surely, 2^813241004448 is an apocalyptic number.

It is an amenable number.

813241004448 is an abundant number, since it is smaller than the sum of its proper divisors (1447090615392).

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

813241004448 is a wasteful number, since it uses less digits than its factorization.

813241004448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498309469 (or 498309461 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 813241004448 in words is "eight hundred thirteen billion, two hundred forty-one million, four thousand, four hundred forty-eight".