6848586900 has 54 divisors (see below), whose sum is σ = 21466517982. Its totient is φ = 1826289600.

The previous prime is 6848586889. The next prime is 6848586931. The reversal of 6848586900 is 96858486.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 242798724 + 6605788176 = 15582^2 + 81276^2 .

It is a super-2 number, since 2×6848586900² = 93806285053703220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3803871 + ... + 3805670.

Almost surely, 2^6848586900 is an apocalyptic number.

6848586900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6848586900 is an abundant number, since it is smaller than the sum of its proper divisors (14617931082).

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

6848586900 is a wasteful number, since it uses less digits than its factorization.

6848586900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609561 (or 7609551 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 6848586900 is about 82756.1894966171. The cubic root of 6848586900 is about 1899.0380079360.

It can be divided in two parts, 6848586 and 900, that added together give a palindrome (6849486).

The spelling of 6848586900 in words is "six billion, eight hundred forty-eight million, five hundred eighty-six thousand, nine hundred".