6825348144 has 80 divisors (see below), whose sum is σ = 19867299840. Its totient is φ = 2243062080.

The previous prime is 6825348121. The next prime is 6825348191. The reversal of 6825348144 is 4418435286.

6825348144 is a `hidden beast` number, since 6 + 82 + 53 + 481 + 44 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6825348144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80592 + ... + 141935.

It is an arithmetic number, because the mean of its divisors is an integer number (248341248).

Almost surely, 2^6825348144 is an apocalyptic number.

It is an amenable number.

6825348144 is an abundant number, since it is smaller than the sum of its proper divisors (13041951696).

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

6825348144 is a wasteful number, since it uses less digits than its factorization.

6825348144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222615 (or 222603 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 6825348144 is about 82615.6652457632. The cubic root of 6825348144 is about 1896.8876231652.

The spelling of 6825348144 in words is "six billion, eight hundred twenty-five million, three hundred forty-eight thousand, one hundred forty-four".