6811101648 has 160 divisors (see below), whose sum is σ = 21292387200. Its totient is φ = 2072024064.

The previous prime is 6811101643. The next prime is 6811101677. The reversal of 6811101648 is 8461011186.

6811101648 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 1 + 0 + 1 + 648 = 666.

It is a super-2 number, since 2×6811101648² = 92782211318776631808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6811101643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493011 + ... + 506637.

It is an arithmetic number, because the mean of its divisors is an integer number (133077420).

Almost surely, 2^6811101648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6811101648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646193600).

6811101648 is an abundant number, since it is smaller than the sum of its proper divisors (14481285552).

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

6811101648 is a wasteful number, since it uses less digits than its factorization.

6811101648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13746 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 6811101648 is about 82529.3986891944. The cubic root of 6811101648 is about 1895.5669175870.

The spelling of 6811101648 in words is "six billion, eight hundred eleven million, one hundred one thousand, six hundred forty-eight".