6448253526 has 96 divisors (see below), whose sum is σ = 16436583072. Its totient is φ = 1801198080.

The previous prime is 6448253489. The next prime is 6448253579. The reversal of 6448253526 is 6253528446.

6448253526 is a `hidden beast` number, since 6 + 44 + 82 + 5 + 3 + 526 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2606226 + ... + 2608698.

It is an arithmetic number, because the mean of its divisors is an integer number (171214407).

Almost surely, 2^6448253526 is an apocalyptic number.

6448253526 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6448253526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8218291536).

6448253526 is an abundant number, since it is smaller than the sum of its proper divisors (9988329546).

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

6448253526 is a wasteful number, since it uses less digits than its factorization.

6448253526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3515 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 6448253526 is about 80301.0182127226. The cubic root of 6448253526 is about 1861.2899601831.

The spelling of 6448253526 in words is "six billion, four hundred forty-eight million, two hundred fifty-three thousand, five hundred twenty-six".